Results 51 to 60 of about 39,748 (165)

The Virasoro fusion kernel and Ruijsenaars' hypergeometric function. [PDF]

Lett Math Phys, 2021
Roussillon J.
europepmc   +1 more source

Computing Hypergeometric Functions Rigorously [PDF]

ACM Transactions on Mathematical Software, 2019
We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions 0 F 1 , 1 F 1 , 2 F 1 , and 2 F 0
openaire   +4 more sources

Extended Conformable K-Hypergeometric Function and Its Application

Advances in Mathematical Physics
The extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including
Maham Abdul Qayyum, Aya Mohammed Dhiaa, Abid Mahboob, Muhammad Waheed Rasheed, Abdu Alameri   +4 more
doaj   +1 more source

Development of parallel computing algorithms for special mathematical functions in fractional calculus: Implementation with GPU and CUDA

Results in Engineering
This work presents the development of parallel computing algorithms for special mathematical function used in fractional calculus. A systematic and step-by-step procedure is proposed for parallelization of computation of Gamma function, 1-, 2-, 3-, and 4-
Chaitanya S. Jage, Vishwesh A. Vyawahare, Mukesh D. Patil   +2 more
doaj   +1 more source

Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function

Journal of Inequalities and Applications, 2018
In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively ...
Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, Muhammad Arshad   +4 more
doaj   +1 more source

Particular solutions of the multidimensional singular ultrahyperbolic equation generalizing the telegraph and Helmholtz equations

Қарағанды университетінің хабаршысы. Математика сериясы
This article deals with the construction of particular solutions for a second-order multidimensional singular partial differential equation, which generalizes the famous telegraph and Helmholtz equations.
Z.O. Arzikulov, T.G. Ergashev
doaj   +1 more source

DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS

Kyushu Journal of Mathematics, 2011
Gauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument variable.
openaire   +3 more sources

On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

Researches in Mathematics
The paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv, T. Antonova, R. Dmytryshyn, M. Dmytryshyn   +3 more
doaj   +1 more source

Starlike Hypergeometric Functions [PDF]

Proceedings of the American Mathematical Society, 1961
Merkes, E. P., Scott, W. T.
openaire   +2 more sources

On a new class of integrals involving generalized Mittag-Leffler function [PDF]

Surveys in Mathematics and its Applications, 2016
In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function.
Naresh Menaria, Sunil Dutt Purohit, Rakesh K. Parmar   +2 more
doaj