On Clifford Analysis For Holomorphic Mappings,
2014
Instituto Politécnico Nacl
On Clifford Analysis For Holomorphic Mappings, M. E. Luna-Elizarrarás, M. Shapiro, Daniele C. Struppa
Mathematics, Physics, and Computer Science Faculty Articles and Research
In the classical theory of several complex variables, holomorphic mappings are just n-tuples of holomorphic functions in m variables, with arbitrary n and m, and no relations between these functions are assumed. Some 30 years ago John Ryan introduced complex, or complexified, Clifford analysis which is, in a sense, the study of certain classes of holomorphic mappings where the components are not independent, and instead obey the relations generated by the Cauchy– Riemann and Dirac-type operators. In this paper, we take a closer look at this theory emphasizing some additional properties that holomorphic mappings satisfy in this context. Our attention …
Students' Perceived Utility Of Precision Taught Calculus,
2013
University of Northern Colorado
Students' Perceived Utility Of Precision Taught Calculus, Rebecca-Anne Dibbs, David Glassmeyer, Wafa Yacoub
Faculty Articles
The last decade of calculus research has showed students learn best when lecture is supplemented with thoughtful use of technology and group work; however, educators are given little direction of how they are to balance the already full first semester calculus class. Precision teaching is an instructional model that employs formative assessment to provide information on what topics are understood by students as well as indicate troublesome concepts. With this information, the instructor can adjust class time accordingly by incorporating supplemental activities most beneficial to students. The purpose of this interview study was to explore the perceived utility of precision …
On The Exact Distribution Of The Maximum Of The Exponential Of The Generalized Normal-Inverse Gaussian Process With Respect To A Martingale Measure,
2013
Louisiana State University
On The Exact Distribution Of The Maximum Of The Exponential Of The Generalized Normal-Inverse Gaussian Process With Respect To A Martingale Measure, Roman V Ivanov
Communications on Stochastic Analysis
No abstract provided.
Local Time Of A Multifractional Gaussian Process,
2013
Louisiana State University
Local Time Of A Multifractional Gaussian Process, Aissa Sghir
Communications on Stochastic Analysis
No abstract provided.
Vertical Martingales, Stochastic Calculus And Harmonic Sections,
2013
Louisiana State University
Vertical Martingales, Stochastic Calculus And Harmonic Sections, Simão N Stelmastchuk
Communications on Stochastic Analysis
No abstract provided.
Analytically Weak Solutions To Linear Spdes With Unbounded Time-Dependent Differential Operators And An Application,
2013
University of Kaiserslautern, Kaiserslautern, Germany
Analytically Weak Solutions To Linear Spdes With Unbounded Time-Dependent Differential Operators And An Application, Benedict Baur, Martin Grothaus, Thanh Tan Mai
Communications on Stochastic Analysis
No abstract provided.
Generalization Of The Anticipative Girsanov Theorem,
2013
Louisiana State University, Baton Rouge, USA
Generalization Of The Anticipative Girsanov Theorem, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda
Communications on Stochastic Analysis
No abstract provided.
Mathematical Model Of Heavy Diffusion Particles System With Drift,
2013
Louisiana State University
Mathematical Model Of Heavy Diffusion Particles System With Drift, Vitalii Konarovskyi
Communications on Stochastic Analysis
No abstract provided.
A New Type Of Reflected Backward Doubly Stochastic Differential Equations,
2013
Louisiana State University
A New Type Of Reflected Backward Doubly Stochastic Differential Equations, Auguste Aman, Yong Ren
Communications on Stochastic Analysis
No abstract provided.
Certain Fractional Integral Operators And The Generalized Incomplete Hypergeometric Functions,
2013
University of Victoria
Certain Fractional Integral Operators And The Generalized Incomplete Hypergeometric Functions, H. M. Srivastava, Praveen Agarwal
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we apply a certain general pair of operators of fractional integration involving Appell’s function F3 in their kernel to the generalized incomplete hypergeometric functions pΓq[z] and pɣq [z], which were introduced and studied systematically by Srivastava et al. in the year 2012. Some interesting special cases and consequences of our main results are also considered.
A New Approach To The Numerical Solution Of Fractional Order Optimal Control Problems,
2013
University of Guilan
A New Approach To The Numerical Solution Of Fractional Order Optimal Control Problems, T. Akbarian, M. Keyanpour
Applications and Applied Mathematics: An International Journal (AAM)
In this article, a new numerical method is proposed for solving a class of fractional order optimal control problems. The fractional derivative is considered in the Caputo sense. This approach is based on a combination of the perturbation homotopy and parameterization methods. The control function u(t) is approximated by polynomial functions with unknown coefficients. This method converts the fractional order optimal control problem to an optimization problem. Numerical results are included to demonstrate the validity and applicability of the method.
Generalized Fractional Integral Of The Product Of Two Aleph-Functions,
2013
Jai Narain Vyas University
Generalized Fractional Integral Of The Product Of Two Aleph-Functions, R. K. Saxena, J. Ram, D. Kumar
Applications and Applied Mathematics: An International Journal (AAM)
This paper is devoted to the study and develops the generalized fractional integral operators for a new special function, which is called Aleph-function. The considered generalized fractional integration operators contain the Appell hypergeometric function F3 as a kernel. We establish two results of the product of two Aleph-functions involving Saigo-Maeda operators. On account of the general nature of the Saigo-Maeda operators and the Aleph-function, some results involving Saigo, Riemann-Liouville and Erdélyi-Kober integral operators are obtained as special cases of the main result.
A Construction That Produces Wallis-Type Formulas,
2013
Rochester Institute of Technology
A Construction That Produces Wallis-Type Formulas, Joshua M. Fitzhugh, David L. Farnsworth
Articles
Generalizations of the geometric construction that repeatedly attaches rectangles to a square, originally given by Myer- son, are presented. The initial square is replaced with a rectangle, and also the dimensionality of the construction is increased. By selecting values for the various parameters, such as the lengths of the sides of the original rectangle or rectangular box in dimensions more than two and their relationships to the size of the attached rectangles or rectangular boxes, some interesting formulas are found. Examples are Wallis-type infinite-product formulas for the areas of p-circles with p > 1.
The Generalized Sub-Fractional Brownian Motion,
2013
Louisiana State University
The Generalized Sub-Fractional Brownian Motion, Aissa Sghir
Communications on Stochastic Analysis
No abstract provided.
Stein's Method For Brownian Approximations,
2013
Louisiana State University
Stein's Method For Brownian Approximations, L Coutin, L Decreusefond
Communications on Stochastic Analysis
No abstract provided.
A Clark-Ocone Type Formula Under Change Of Measure For Lévy Processes With L^2-Lévy Measure,
2013
Louisiana State University
A Clark-Ocone Type Formula Under Change Of Measure For Lévy Processes With L^2-Lévy Measure, Ryoichi Suzuki
Communications on Stochastic Analysis
No abstract provided.
Identities And Inequalities For Cdo Tranche Sensitivities,
2013
Louisiana State University
Identities And Inequalities For Cdo Tranche Sensitivities, Claas Becker, Ambar N Sengupta
Communications on Stochastic Analysis
No abstract provided.
Positive Harris Recurrence Of The Cir Process And Its Applications,
2013
Universität Wuppertal, Wuppertal, Germany
Positive Harris Recurrence Of The Cir Process And Its Applications, Peng Jin, Vidyadhar Mandrekar, Barbara Rüdiger, Chiraz Trabelsi
Communications on Stochastic Analysis
No abstract provided.
Itô Formula And Girsanov Theorem For Anticipating Stochastic Integrals,
2013
Louisiana State University, Baton Rouge, USA
Itô Formula And Girsanov Theorem For Anticipating Stochastic Integrals, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda
Communications on Stochastic Analysis
No abstract provided.
A Bochner-Type Representation Of Positive Definite Mappings On The Dual Of A Compact Group,
2013
Louisiana State University
A Bochner-Type Representation Of Positive Definite Mappings On The Dual Of A Compact Group, Herbert Heyer
Communications on Stochastic Analysis
No abstract provided.
