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Discrete Mathematics and Combinatorics Commons™
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- Keyword
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- Appell polynomials (1)
- Basic analog of I-function (1)
- Basic hypergeometric functions (1)
- Bell polynomial of the second kind (1)
- Cobb-Douglas production function (1)
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- Coefficient (1)
- Combinatorial analysis (1)
- Differential equations (1)
- Faà di Bruno formula (1)
- Firm production model (1)
- Fox’s H-function (1)
- Fractional q-derivative (1)
- Fractional q-integral (1)
- Fuzzy Transitivity (1)
- Fuzzy decision making (1)
- Fuzzy geometric programming (1)
- Fuzzy mathematical programming (1)
- General class of q- polynomials (1)
- Generating function (1)
- Generating functions (1)
- Geometric programming technique (1)
- Goodness of Fit (1)
- Laguerre polynomial (1)
- Lah inversion formula (1)
- Mathematical Modeling (1)
- Meaningful Interpretation (1)
- Monomiality principle (1)
- Ordinary differential equation (1)
- Q- calculus (1)
- Q-Analog of Sumudu transforms (1)
Articles 1 - 7 of 7
Full-Text Articles in Discrete Mathematics and Combinatorics
Q-Sumudu Transforms Pertaining To The Product Of Family Of Q-Polynomials And Generalized Basic Hypergeometric Functions, V. K. Vyas, Ali A. Al –Jarrah, S. D. Purohit
Q-Sumudu Transforms Pertaining To The Product Of Family Of Q-Polynomials And Generalized Basic Hypergeometric Functions, V. K. Vyas, Ali A. Al –Jarrah, S. D. Purohit
Applications and Applied Mathematics: An International Journal (AAM)
The prime objective of commenced article is to determine q-Sumudu transforms of a product of unified family of q-polynomials with basic (or q-) analog of Fox’s H-function and q-analog of I-functions. Specialized cases of the leading outcome are further evaluated as q-Sumudu transform of general class of q-polynomials and q-Sumudu transforms of the basic analogs of Fox’s H-function and I-functions.
Adjoint Appell-Euler And First Kind Appell-Bernoulli Polynomials, Pierpaolo Natalini, Paolo E. Ricci
Adjoint Appell-Euler And First Kind Appell-Bernoulli Polynomials, Pierpaolo Natalini, Paolo E. Ricci
Applications and Applied Mathematics: An International Journal (AAM)
The adjunction property, recently introduced for Sheffer polynomial sets, is considered in the case of Appell polynomials. The particular case of adjoint Appell-Euler and Appell-Bernoulli polynomials of the first kind is analyzed.
Simplifying Coefficients In A Family Of Ordinary Differential Equations Related To The Generating Function Of The Laguerre Polynomials, Feng Qi
Applications and Applied Mathematics: An International Journal (AAM)
In the paper, by virtue of the Faà di Bruno formula, properties of the Bell polynomials of the second kind, and the Lah inversion formula, the author simplifies coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials.
Cobb-Douglas Based Firm Production Model Under Fuzzy Environment And Its Solution Using Geometric Programming, Palash Mandal, Arindam Garai, Tapan K. Roy
Cobb-Douglas Based Firm Production Model Under Fuzzy Environment And Its Solution Using Geometric Programming, Palash Mandal, Arindam Garai, Tapan K. Roy
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we consider Cobb-Douglas production function based model in a firm under fuzzy environment, and its solution technique by making use of geometric programming. A firm may use many finite inputs such as labour, capital, coal, iron etc. to produce one single output. It is well known that the primary intention of using production function is to determine maximum output for any given combination of inputs. Also, the firm may gain competitive advantages if it can buy and sell in any quantities at exogenously given prices, independent of initial production decisions. On the other hand, in reality, constraints …
On Local Asymptotic Stability Of Q-Fractional Nonlinear Dynamical Systems, Ilknur Koca, Elif Demirci
On Local Asymptotic Stability Of Q-Fractional Nonlinear Dynamical Systems, Ilknur Koca, Elif Demirci
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, locally asymptotic stability of q-fractional order nonlinear dynamical systems is introduced and studied. The sufficient conditions for local stability of such dynamical systems are obtained. Also, useful definitions of fractional order q-integrals and q-derivatives are recalled. Finally, a q-fractional order nonlinear dynamical model is considered.
Reichenbach Fuzzy Set Of Transitivity, Samina Ashraf, Muhammad A. Javed
Reichenbach Fuzzy Set Of Transitivity, Samina Ashraf, Muhammad A. Javed
Applications and Applied Mathematics: An International Journal (AAM)
Fuzzy implicators are the basic ingredients of many applications. So it becomes essential to study the various features of an implicator before implementing it in any practical application. This paper discusses the properties of transitivity of a fuzzy relation on a given universe and measure of fuzzy transitivity defined in terms of the Reichenbach fuzzy implicator which is an s-implicator.
Mathematical Modeling, A Small Step In A Right Direction, Reza D. Noubary
Mathematical Modeling, A Small Step In A Right Direction, Reza D. Noubary
Applications and Applied Mathematics: An International Journal (AAM)
Models developed by mathematicians/statisticians based on criterion such as goodness of fit often leads to a “best” model only for the data utilized. Moreover the parameters in such models often do not have physical interpretations and as such their validity cannot be checked by other means. This article makes argument against modeling processes that do not incorporate information from discipline related to the origin of data and presents an example to demonstrate benefits of doing so.