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Mechanistic Understanding Of Hormone Regulation Of Abiotic Stresses In Horticultural Plants: A Review, Faisal Hayat, Ummara Khan, Muhammad Zeeshan, Qurban Ali, Muhammad Azher Nawaz, Nazir Ahmed, Sezai̇ Erci̇şli̇, Karthishwaran Kandhan, Wasef Al-Zayadneh, Saad Sulieman, Mohamed S. Sheteiwy, Mohammed Alyafei
Mechanistic Understanding Of Hormone Regulation Of Abiotic Stresses In Horticultural Plants: A Review, Faisal Hayat, Ummara Khan, Muhammad Zeeshan, Qurban Ali, Muhammad Azher Nawaz, Nazir Ahmed, Sezai̇ Erci̇şli̇, Karthishwaran Kandhan, Wasef Al-Zayadneh, Saad Sulieman, Mohamed S. Sheteiwy, Mohammed Alyafei
Turkish Journal of Agriculture and Forestry
Plants encounter considerable challenges due to environmental changes induced by anthropogenic activities or abrupt seasonal patterns. As sessile organisms, plants are continuously subjected to various abiotic stresses that adversely affect growth and productivity. Researchers have been studying for years to understand how plants develop resilience and respond to these environmental stressors. The application of phytohormones is widely recognized as a practical approach to mitigate the adverse effects of abiotic stresses on horticultural plants. Phytohormones play a crucial role in enhancing plant resilience by modulating key physiological functions such as seed germination, seedling growth, root formation, and photosynthetic efficiency. They also …
Physicochemical, Bioactive, Microbial, And Sensory Characteristics Of Homemade Vinegar Produced With A Local Apple Variety Using A Traditional Method, Hasan Kiliçgün, Fi̇li̇z Yangilar
Physicochemical, Bioactive, Microbial, And Sensory Characteristics Of Homemade Vinegar Produced With A Local Apple Variety Using A Traditional Method, Hasan Kiliçgün, Fi̇li̇z Yangilar
Turkish Journal of Agriculture and Forestry
Apple is one of the most widely grown fruits in the world and can be found fresh in the market throughout the whole yeardue to its excellent storage ability. In addition to fresh consumption, apples are processed into a variety of products including fruitjuice, vinegar, jams, and pies. In this study, the bioactive contents and microbial, physicochemical, and sensory properties of sevenvinegars traditionally produced using a local apple variety, Kara Sakı, with different yeast materials (Saccharomyces cerevisiae, chickpea,buckwheat, barley, whey, natural home apple vinegar, and commercial apple cider vinegar) were assessed. The results indicated significantdifferences among vinegar samples for dry …
Grafting Success And Quality Of Hazelnut Plants: Impact Of Grafting Methods, Clones And Bonding Materials, Sava Džankić, Sandra Bijelić, Borivoje Bogdanović, Goran Jaćimović, Hülya Ünver
Grafting Success And Quality Of Hazelnut Plants: Impact Of Grafting Methods, Clones And Bonding Materials, Sava Džankić, Sandra Bijelić, Borivoje Bogdanović, Goran Jaćimović, Hülya Ünver
Turkish Journal of Agriculture and Forestry
Despite favourable agro-ecological conditions, there is a significant gap between the real demand for hazelnut fruits and the state of production in the Republic of Serbia. However, over the past few decades, hazelnut production has been significantly enhanced through establishing orchards with grafted seedlings. As hazelnut grafting has predominantly relied on the whip and tongue method until recently, there has been a need to explore other grafting methods of Corylus avellana L. on generative rootstocks of Corylus colurna L. The aim of this study was to comparatively investigate the grafting of three clones of C. avellana using four grafting methods, …
Influence Of Nitrate Levels On Plant Growth And Carbon And Nitrogen Metabolismin Cucumber (Cucumis Sativus L.) Under Low Light Stress, Syed Aizaz Ali Shah, Yuzi Shi, Jing Nie, Xuehui Yao, Yicong Guo, Muhammad Ahmad, Syed Atizaz Ali Shah, Faisal Hayat, Yasmin Niamat, Hali̇l İbrahim Öztürk, Xiaolei Sui
Influence Of Nitrate Levels On Plant Growth And Carbon And Nitrogen Metabolismin Cucumber (Cucumis Sativus L.) Under Low Light Stress, Syed Aizaz Ali Shah, Yuzi Shi, Jing Nie, Xuehui Yao, Yicong Guo, Muhammad Ahmad, Syed Atizaz Ali Shah, Faisal Hayat, Yasmin Niamat, Hali̇l İbrahim Öztürk, Xiaolei Sui
Turkish Journal of Agriculture and Forestry
Photosynthesis is critically dependent on both adequate light and nitrogen availability. In controlled agricultural environmentswith limited natural light, cucumber faces substantial challenges, including reduced photosynthetic efficiency and biomass accumulation.Nitrogen (N) is a vital component for the synthesis of various macromolecules, metabolites, and signaling molecules in plants. This studyassessed the impact of different nitrate levels (LL-N, LL-1/2N, and LL-2N) on the physiological, biochemical, and metabolic responsesof cucumber under low light conditions (80–100 μmol m–2 s–1 photosynthetic photon flux density) in comparison to standard light(400–500 μmol m–2 s–1 photosynthetic photon flux density) and unchanged nitrate. We observed that increasing nitrate levels to …
Different Irrigation Strategies Affect Proximate Composition And Fatty Acid Profiles Of Grape Seeds Under Semi-Arid Conditions, Mehmet İlhan Odabaşioğlu
Different Irrigation Strategies Affect Proximate Composition And Fatty Acid Profiles Of Grape Seeds Under Semi-Arid Conditions, Mehmet İlhan Odabaşioğlu
Turkish Journal of Agriculture and Forestry
Grapevine (Vitis vinifera) is one of the most widely cultivated horticultural plants with high socioeconomic value, and itis extensively appreciated for its colorful berries and the wines made from its berries. Variations in the phytochemical compoundsof different tissues of grape berries under different cultural practices have been explored in numerous studies in recent years. In thisstudy, variations in the physical, proximate, and fatty acid compositions of grape (Vitis vinifera L. ‘Red Globe’) seeds under differentpartial root-zone drying and deficit irrigation treatments were investigated. The results showed that different irrigation treatments andirrigation levels affected the vitality, moisture, and oil contents of …
Control Of Mango Anthracnose (Colletotrichum Gloeosporioides) By Essential Oil Mixture, Chau Trung Duong, Huynh Thi Phuong Thao, Doan Minh Khang, Nguyen Thi Nhu Y, Tran Chi Nhan, Bui Thi Cam Huong, Nguyen Trong Tuan, Nguyen Thi Ngoc Truc, Dương Minh Tuệ, Luu Thai Danh
Control Of Mango Anthracnose (Colletotrichum Gloeosporioides) By Essential Oil Mixture, Chau Trung Duong, Huynh Thi Phuong Thao, Doan Minh Khang, Nguyen Thi Nhu Y, Tran Chi Nhan, Bui Thi Cam Huong, Nguyen Trong Tuan, Nguyen Thi Ngoc Truc, Dương Minh Tuệ, Luu Thai Danh
Turkish Journal of Agriculture and Forestry
Mixing two or more essential oils (EOs) may increase effectiveness of mango anthracnose control. In this study, EOs from a wide range of plant materials were hydro-distilled and chemically characterized. EOs were tested against in vitro growth of Colletotrichum gloeosporioides. EOs with the highest antifungal toxicity were selected for the interactive experiments. The results showed that orange had the highest extraction yield (4.94%), followed by lemon, pomelo, citronella, turmeric, ginger, lemongrass (LG), cinnamon bark (CB), cinnamon leaf (CL) and basil. Trans-cinnamaldehyde was the most abundant compound of CB (91.3%) and CL (94.1%) EO. Limonene was principle constituent of orange (97%), …
Combined Physiological And Biochemical Analysis And Molecular Biotechnology For Atrazine Residue Reduction In Soybeans, Fenglan Hu, Yan Ding
Combined Physiological And Biochemical Analysis And Molecular Biotechnology For Atrazine Residue Reduction In Soybeans, Fenglan Hu, Yan Ding
Turkish Journal of Agriculture and Forestry
To address the problem of atrazine residue in soybeans affecting the ecological environment and human health, in the presentstudy it is proposed to combine the bioorganic fertilizer DNBF10 and the highly efficient degrading bacterial strain AT-b3 with themagnetic biochar carrier MBC to form a novel DMBC-P bioremediation technology. The results indicated that the DMBC-P technologycould effectively reduce the residual amount of atrazine in soybeans and significantly enhance their growth and physiological indexes bypromoting atrazine degradation and phosphorus utilization and reducing oxidative stress. At the physiological and biochemical levels,DNBF10 significantly alleviated atrazine-induced oxidative stress, reducing the IBRv2 values to 1.84 and …
Bioethanol Yield Of The Sorghum × Sudangrass Hybrid Under Arid And Semiaridconditions: Nitrogen Dose Effects, Orthogonal Comparisons, And Component Analyses, Hali̇t Tutar
Turkish Journal of Agriculture and Forestry
The sorghum x sudangrass hybrid is highly significant as a biofuel crop due to its high biomass production, drought tolerance, ability to adapt to various climatic conditions, and high sugar content in its stems. This research aimed to determine the effects of six different nitrogen dose treatments on ethanol yield, yield parameters, and fertilizer use relationships in sorghum x sudangrass hybrid plants at two locations in 2021 and 2022. The experiment was established according to the randomized block design with three replicates. Nitrogen treatments were applied as N0 (0 kg da-1), N5 (5 kg da-1), N10 (10 kg da-1), N15 …
Optimal Pollen Viability And Vigor Among Varieties Of Tagnanan Tall Coconut(Cocos Nucifera L.), Xi Yun Liew, Mohd Norsazwan Ghazali, Mohd Firdaus Ismail, Zarina Abd Ghafar, Mohd Syarbani Bin Ismar, Vasudevan Venkatachalam, Uma Rani Sinniah
Optimal Pollen Viability And Vigor Among Varieties Of Tagnanan Tall Coconut(Cocos Nucifera L.), Xi Yun Liew, Mohd Norsazwan Ghazali, Mohd Firdaus Ismail, Zarina Abd Ghafar, Mohd Syarbani Bin Ismar, Vasudevan Venkatachalam, Uma Rani Sinniah
Turkish Journal of Agriculture and Forestry
Controlled pollination, involving the transfer of pollen from Tagnanan Tall palm (male parent) to the Malayan Yellow or Red dwarf (female parent) is essential for producing MATAG coconut hybrids. However, the pollen from Tagnanan Tall (TAGT), usedin hybridization, has been reported to have a germination percentage of less than 40%. This is further complicated by Tagnanan Tall varieties varying in color, TAGT Orange, TAGT Gold, and TAGT Green. TAGT Orange is claimed to have lower pollen viability than TAGT Gold and Green. Hence, a study was conducted to compare inflorescence characteristics, pollen yield, size, viability, and vigor of three Tagnanan …
An Improved Conditional Integrator Sliding Mode Controller Based On Swarm Intelligence For A Magnetic Levitation System, Abdelkader Kerraci, Mohamed Fayçal Khelfi, Zoubir Ahmed-Foitih
An Improved Conditional Integrator Sliding Mode Controller Based On Swarm Intelligence For A Magnetic Levitation System, Abdelkader Kerraci, Mohamed Fayçal Khelfi, Zoubir Ahmed-Foitih
Turkish Journal of Electrical Engineering and Computer Sciences
This paper proposes an enhanced Conditional Integrator Sliding Mode Controller using Particle Swarm Optimization (CISMCPSO) for a magnetic levitation system (MLS). The main advantage of this controller is its robustness to uncertainties and disturbances, which also avoids chattering and ensures zero static steady-state error. The main idea of CISMCPSO is to activate its integral action only when the sliding surface reaches the boundary layer while it is reduced to zero or close to zero elsewhere, which avoids destroying the transient response caused by the conventional integral sliding-mode controller. A particle swarm optimization algorithm schedules the conditional integral term parameter of …
Cover And Contents
Turkish Journal of Electrical Engineering and Computer Sciences
No abstract provided.
Uniform 3d Scattering Point Model For Simulating The Dynamic Radar Echo From Wind Farm, Bo Tang, Zhendong Zhu, Zhiyu Shang, Huanghai Xie, Feng Wang, Jiaxu Chen
Uniform 3d Scattering Point Model For Simulating The Dynamic Radar Echo From Wind Farm, Bo Tang, Zhendong Zhu, Zhiyu Shang, Huanghai Xie, Feng Wang, Jiaxu Chen
Turkish Journal of Electrical Engineering and Computer Sciences
The calculation scale of simulating wind farm dynamic radar echo is gradually growing with the increasing scale of wind farms, which can hardly meet the requirements of real-time radar echo simulation. Considering that the method of surface element division can greatly influence the result of simulation, uniform surface element division is applied to accelerate the traditional simulation algorithm based on the refined 3D scattering point model and enhance the main characteristics of the radar echo. The solution time of dynamic radar echoes from 1-8 wind turbines is calculated to test the average speed that the uniform 3D scattering point model …
Developing Linguistic Patterns To Mitigate Inherent Human Bias In Offensive Language Detection, Toygar Tanyel, Besher Alkurdi, Serkan Ayvaz
Developing Linguistic Patterns To Mitigate Inherent Human Bias In Offensive Language Detection, Toygar Tanyel, Besher Alkurdi, Serkan Ayvaz
Turkish Journal of Electrical Engineering and Computer Sciences
With the proliferation of social media, there has been a sharp increase in offensive content, particularly targeting vulnerable groups, exacerbating social problems such as hatred, racism, and sexism. Detecting offensive language use is crucial to prevent offensive language from being widely shared on social media. However, the accurate detection of irony, implication, and various forms of hate speech on social media remains a challenge. Natural language-based deep learning models require extensive training with large, comprehensive, and labeled datasets. Unfortunately, manually creating such datasets is both costly and error-prone. Additionally, the presence of human-bias in offensive language datasets is a major …
A Cascade Genetic Algorithm Based Adaptive Backstepping Impedance Control For Upper Limb Rehabilitation Robot, Mawloud Aichaoui, Ameur Ikhlef
A Cascade Genetic Algorithm Based Adaptive Backstepping Impedance Control For Upper Limb Rehabilitation Robot, Mawloud Aichaoui, Ameur Ikhlef
Turkish Journal of Electrical Engineering and Computer Sciences
This paper proposes a novel cascade impedance control architecture designed for the upper limb exoskeleton rehabilitation robot. The proposed architecture comprises two parts: Firstly, the impedance reference trajectory is shaped from the desired trajectory utilizing the desired impedance model and feedback contact torques. The second part of the proposed controller is an adaptive backstepping control, responsible for tracking the generated impedance reference trajectory. Notably, the proposed adaptive backstepping impedance controller is non-model-based control approach, eliminating the need for the robot's model. Furthermore, a genetic algorithm is employed as an offline tuning method for the inner position loop controller, namely the …
A New Dxccdita Based Meminductor Emulator And Its Application In Chaotic Oscillator, Bhawna Aggarwal, Shireesh Kumar Rai, Harsh Jain
A New Dxccdita Based Meminductor Emulator And Its Application In Chaotic Oscillator, Bhawna Aggarwal, Shireesh Kumar Rai, Harsh Jain
Turkish Journal of Electrical Engineering and Computer Sciences
This work introduces a new dual-X current conveyor differential input transconductance amplifier (DXCCDITA) based meminductor emulator, alongside its application in chaotic oscillator has also been presented. To realize the designed meminductor emulator, one DXCCDITA, two resistors, and two capacitors are employed. Pinched hysteresis loops are achieved across a wide frequency range spanning from 100 Hz to 1.5 MHz, encompassing both decremental and incremental topologies. Additionally, the proposed circuit offers the flexibility to switch between incremental and decremental configurations using a simple switch. Through examination of non-volatility and transient responses, the efficiency of the presented emulator is evidently demonstrated. To further …
A Surface-Based Approach For 3d Approximate Convex Decomposition, Onat Zeybek Kuşkonmaz, Yusuf Sahi̇lli̇oğlu
A Surface-Based Approach For 3d Approximate Convex Decomposition, Onat Zeybek Kuşkonmaz, Yusuf Sahi̇lli̇oğlu
Turkish Journal of Electrical Engineering and Computer Sciences
Approximate convex decomposition enables the simplification of complex shapes into manageable convex components. In this work, we propose a novel surface-based method to achieve this which leads to efficient computation times and sufficiently convex results while avoiding over-approximating the input model. We start approximation using mesh simplification. Then we iterate over the surface polygons of the mesh and divide them into convex groups. We utilize planar and angular equations to determine suitable neighboring polygons for inclusion in forming convex groups. To ensure our method outputs a sufficient result for a wide range of input shapes, we run multiple iterations of …
Lgformer: Informer-Based Personalized Modeling For Blood Glucose Prediction, Xue Yuewei, Shaopeng Guan, Jia Wanhai
Lgformer: Informer-Based Personalized Modeling For Blood Glucose Prediction, Xue Yuewei, Shaopeng Guan, Jia Wanhai
Turkish Journal of Electrical Engineering and Computer Sciences
Effective diabetes management relies on precise prediction of blood glucose levels to minimize complications. However, the patterns and fluctuations in blood glucose vary significantly among patients, posing a challenge for existing prediction methods. Many current approaches fail to accommodate these individual differences, leading to less reliable predictions. In response to this challenge, we present LGformer, a novel prediction model based on the Informer architecture, designed to enhance both flexibility and accuracy. LGformer improves upon Informer by integrating LSTM and GRU layers into its probSparse Self-attention mechanism, allowing for personalized processing of blood glucose data tailored to each patient's unique profile. …
In-Situ Superconductor Temperature Sensor For Cryogenic Integrated Circuits, Emre Küçükyilmaz, Nazi̇f Orhun Tekci̇, Sasan Razmkhah, Ali̇ Bozbey
In-Situ Superconductor Temperature Sensor For Cryogenic Integrated Circuits, Emre Küçükyilmaz, Nazi̇f Orhun Tekci̇, Sasan Razmkhah, Ali̇ Bozbey
Turkish Journal of Electrical Engineering and Computer Sciences
Cryogenic circuits, such as those based on single flux quantum (SFQ) logic, function at extremely low temperatures. Therefore, the designs target the utilization of liquid helium (LHe) temperatures, maintaining them at 4.2 K. These specialized circuits can be subjected to measurement either within liquid helium (LHe) baths or enclosed within closed-cycle cryocoolers.However, when utilizing LHe in cryocooler systems, inherent weak thermal contact can lead to temperature gradients between the circuit chip and the cold head, where conventional temperature sensors are typically placed. To address this challenge, this study introduces an innovative on-chip temperature sensing approach that capitalizes on the temperature …
Fault Diagnosis Of Photovoltaic Array Based On Gated Residual Network With Multi-Head Self Attention Mechanism, Ahmed Mesai Belgacem, Mounir Hadef, Abdesslem Djerdir
Fault Diagnosis Of Photovoltaic Array Based On Gated Residual Network With Multi-Head Self Attention Mechanism, Ahmed Mesai Belgacem, Mounir Hadef, Abdesslem Djerdir
Turkish Journal of Electrical Engineering and Computer Sciences
Effective fault identification and diagnosis in photovoltaic (PV) arrays is vital for improving the effectiveness, and safety of solar energy systems. While various artificial intelligence methods have successfully established fault detection and diagnosis models, introducing inefficiencies and potentially overlooking useful features. Moreover, these methods often employ neural networks with limited performance capabilities. In response to these challenges, this paper introduces an innovative intelligent model that integrates a combination of a gated residual neural network (GRN) and a multi-head self-attention mechanism (MHSA). To evaluate the proposed fault diagnosis model, the small-scale PV grid system is implemented, and fault simulation experiments, including …
Computing Exterior Isoclinism Of Crossed Modules, Zekeri̇ya Arvasi̇, Alper Odabaş
Computing Exterior Isoclinism Of Crossed Modules, Zekeri̇ya Arvasi̇, Alper Odabaş
Turkish Journal of Mathematics
In this paper, we introduce exterior isoclinism for crossed modules, extending the concept of isoclinism from groups to these 2-dimensional algebraic structures. Motivated by work on tensor and exterior products of non-abelian groups, we utilize non-abelian exterior products, exterior squares, and exterior centers to define this new equivalence relation. Additionally, we provide computational tools implemented in the GAP system to identify exterior isoclinism families of small groups and crossed modules.
The Multiples Of A Numerical Semigroup, Ignacio Ojeda, José Carlos Rosales
The Multiples Of A Numerical Semigroup, Ignacio Ojeda, José Carlos Rosales
Turkish Journal of Mathematics
Given two numerical semigroups $S$ and $T$ we say that $T$ is a multiple of $S$ if there exists an integer $d \in \mathbb{N} \setminus \{0\}$ such that $S = \{x \in \mathbb{N} \mid d x \in T\}$. In this paper we study the family of multiples of a (fixed) numerical semigroup. We also address the open problem of finding numerical semigroups of embedding dimension $e$ without any quotient of embedding dimension less than $e$, and provide new families with this property.
Moment-Based Approximation For Variance Of Semi-Markovian Random Walk With Gamma Distributed Interference Of Chance, Büşra Alakoç, Asli Bektaş Kamişlik, Tülay Yazir, Tahi̇r Khaniyev
Moment-Based Approximation For Variance Of Semi-Markovian Random Walk With Gamma Distributed Interference Of Chance, Büşra Alakoç, Asli Bektaş Kamişlik, Tülay Yazir, Tahi̇r Khaniyev
Turkish Journal of Mathematics
This study proposed moment-based approximations for the expected value and variance of the ergodic distribution of the semi-Markovian random walk process (X(t)) with gamma distributed interference of chance. Many studies have investigated analogous moment problems by using asymptotic approach. The key distinguishing aspect of this study from others in the literature is obtaining Kambo’s approximations for the moments of X(t) instead of asymptotic expansions. Firstly, the approximation formulas for the moments of boundary functional SN(z) of X(t) were obtained. Then using these results, approximation formulas for the first two moments of the ergodic distributions of X(t) were derived. Finally, the …
Free Weakly K-Nilpotent N-Tuple Semigroups, Anatolii V. Zhuchok, Jorg Koppitz
Free Weakly K-Nilpotent N-Tuple Semigroups, Anatolii V. Zhuchok, Jorg Koppitz
Turkish Journal of Mathematics
In this paper, we construct a free object in the variety of weakly k-nilpotent n-tuple semigroups and characterize the least weakly k-nilpotent congruence on a free n-tuple semigroup. Moreover, we present separately free weakly k-nilpotent n-tuple semigroups of rank 1, calculate the cardinality of the free weakly k-nilpotent n-tuple semigroup for the finite case, emphasize that the semigroups of the free weakly k-nilpotent n-tuple semigroup are isomorphic and the automorphism group of the free weakly k-nilpotent n-tuple semigroup is isomorphic to the symmetric group. We also describe all maximal n-tuple subsemigroups of the free weakly k-nilpotent n-tuple semigroup and all …
Explicit Solution Of System Of Two Higher-Order Recurrences, László Németh, László Szalay
Explicit Solution Of System Of Two Higher-Order Recurrences, László Németh, László Szalay
Turkish Journal of Mathematics
We give a method to determine an explicit solution to a system of two inhomogeneous linear recursive sequences of higher order. Our approach can be used efficiently in solving certain combinatorial problems. We finish the paper by considering a tiling problem with black and white dominoes, and we use the method as a demonstration to find the solution.
Some Complementary Results On Asymptotic Behavior Of Solutions Of Neutral Difference Equations, Nour H. M. Alsharif, Başak Karpuz
Some Complementary Results On Asymptotic Behavior Of Solutions Of Neutral Difference Equations, Nour H. M. Alsharif, Başak Karpuz
Turkish Journal of Mathematics
This paper focuses on examining the boundedness and asymptotic behavior of all solutions of the neutral difference equations\begin{equation}\Delta[x_{n}-p_{n}x_{n-\kappa}]+q_{n}x_{n-\ell}=0\quad\text{for}\ n=0,1,\cdots,\label{abseq1}\tag{$\star$}\end{equation}and\begin{equation}\Delta[x_{n}-px_{n-\kappa}]+q_{n}x_{n-\ell}=0\quad\text{for}\ n=0,1,\cdots,\label{abseq2}\tag{$\star\star$}\end{equation}where $\kappa,\ell\in\N$, $\{p_{n}\}\subset[0,1)$, $p\in[0,1)$ and $\{q_{n}\}\subset[0,\infty)$.Diverging from much of the existing literature, our results accommodate the scenario where$\{p_{n}\}\subset[\frac{1}{2},1)$ and $p\in[\frac{1}{2},1)$ for \eqref{abseq1} and \eqref{abseq2}, respectively.Furthermore, we underscore the practical implications of our results through the presentation of numerical examples. This paper focuses on examining the boundedness and asymptotic behavior of all solutions of the neutral difference equations \begin{equation} \Delta[x_{n}-p_{n}x_{n-\kappa}]+q_{n}x_{n-\ell}=0\quad\text{for}\ n=0,1,\cdots,\label{abseq1}\tag{$\star$} \end{equation} and \begin{equation} \Delta[x_{n}-px_{n-\kappa}]+q_{n}x_{n-\ell}=0\quad\text{for}\ n=0,1,\cdots,\label{abseq2}\tag{$\star\star$} \end{equation} where $\kappa,\ell\in\N$, $\{p_{n}\}\subset[0,1)$, $p\in[0,1)$ and $\{q_{n}\}\subset[0,\infty)$. Diverging from much of the existing literature, our results …
Fibration Category Structures Induced By Enrichments, Mehmet Aki̇f Erdal
Fibration Category Structures Induced By Enrichments, Mehmet Aki̇f Erdal
Turkish Journal of Mathematics
We study fibration category structures induced by enrichments over symmetric monoidal categories that are also fibration categories. Let $\mathcal V$ be a monoidal category that is also a fibration category. Assume that $\mathcal V$ has an interval object. We show that the fibration category structure on $\mathcal V$ can be transferred over any $\mathcal V$-enriched category through corepresentable functors provided that certain power objects exists. We also give its $G$-equivariant extension for a group $G$, so that under mild conditions the category of $G$-objects in a $\mathcal V$-enriched category admits a (non-trivial) fibration category structure. We later show that several …
The 2-Adic Valuation Of Shifted Padovan And Perrin Numbers And Applications, Eric Bravo, Nuretti̇n Irmak
The 2-Adic Valuation Of Shifted Padovan And Perrin Numbers And Applications, Eric Bravo, Nuretti̇n Irmak
Turkish Journal of Mathematics
We characterize the 2-adic valuation of (Pn − 1)n≥0 , where (Pn)n≥0 denotes the Padovan sequence. In addition, we use this formula to find all the Cullen and Proth numbers that are Padovan numbers. We also fully describe the 2-adic order of (Rn + 1)n≥0 , where (Rn)n≥0 denotes the Perrin sequence, and use it to find all Woodall and Proth numbers of the second kind which are Perrin numbers. As a consequence we find that 3, 5, 9, and 65 are the only Fermat numbers in the Padovan sequence; while 3 and 7 and 2 and 5 are the …
Coefficient Problems For A Certain Subclass Of Analytic And Univalent Functions, Osman Altintaş, Ni̇zami̇ Mustafa
Coefficient Problems For A Certain Subclass Of Analytic And Univalent Functions, Osman Altintaş, Ni̇zami̇ Mustafa
Turkish Journal of Mathematics
In the present work, some new subclasses of analytic and univalent functions are introduced and some 5 geometric properties such as coefficient estimates problem are studied for them. Furthermore, we show that our results 6 are generalization for some earlier works in the literature and we show this by comparing ours with those related.