Results 21 to 30 of about 278,807 (229)
On the generalized Gauss hypergeometric function
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008 In this work the (τ, β)-hypergeometric Gauss function is considered, the basic properties of this function are investigated, some applications are given.
N. A. Virchenko
doaj +3 more sources
On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences [PDF]
MathematicsIn this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
doaj +2 more sources
CERTAIN CLASS OF P-VALENT FUNCTIONS ASSOCIATED WITH THE WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTION
, 2010 Using the Wrights generalized hypergeometric function, we introduce a new classWk (p; q; s;A;B; ) of analytic p-valent functions with negative coe¢ cients.
M. Aouf +3 more
semanticscholar +2 more sources
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
AxiomsIn 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama +3 more
doaj +2 more sources
The generalized hypergeometric function
ACM SIGPLAN Notices, 1970 Alan L. Jones
openaire +3 more sources
Generalized Hypergeometric Function 3F2 Ratios and Branched Continued Fraction Expansions
Axioms, 2021 The paper is related to the classical problem of the rational approximation of analytic functions of one or several variables, particulary the issues that arise in the construction and studying of continued fraction expansions and their multidimensional ...
T. Antonova, R. Dmytryshyn, S. Sharyn
semanticscholar +1 more source
Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function [PDF]
Advances in Differential Equations, 2021 A new family of p -Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015 ) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
semanticscholar +1 more source
Rational approximations to generalized hypergeometric functions [PDF]
Mathematics of Computation, 1965 Jerry L. Fields
openaire +2 more sources
, 2020 The aim of this paper is to evaluate an interesting integral involving generalized hypergeometric function and the multivariable Aleph-function. The integral is evaluated with the help of an integral involving generalized hypergeometric function obtained
D. Kumar, F. Ayant, Devendra Kumar
semanticscholar +1 more source
Representations and Inequalities for Generalized Hypergeometric Functions [PDF]
Journal of Mathematical Sciences, 2015 13 pages, no ...
Dmitrii Karp, Dmitrii Karp
openaire +3 more sources