Results 181 to 190 of about 278,807 (229)

Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind

, 2021
In the article, we present several new functional inequalities for the Gaussian hypergeometric function and generalized elliptic integral of the first kind.
Shenyang Tan, T. Huang, Yu‐ming Chu
semanticscholar   +1 more source

Generating functions of the hypergeometric functions

Journal of Mathematical Physics, 1974
The Lie algebra, which was introduced in a previous paper to treat the hypergeometric functions by Lie theory techniques, is used to derive generating functions of the hypergeometric functions. Several generating functions are obtained from the theory of multiplier representations. Weisner's method is also applied, giving another generating function.
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Generating functions for the generalized Gauss hypergeometric functions

Applied Mathematics and Computation, 2014
Formulas and identities involving many well-known special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) play important roles in themselves and in their diverse applications. Various families of generating functions have been established by a number of authors in many different ways. In this paper, we aim
Shilpi Jain, Praveen Agarwal, Hari M. Srivastava   +2 more
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Generalized Hypergeometric Functions

1998
Abstract The special properties associated with the hypergeometric and confluent hypergeometric functions have spurred a number of investigations into developing functions even more general than these. Some of this work was done in the nineteenth century by Clausen, Appell, and Lauricella (among others), but much of it has occurred ...
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Generalization of Bessel and hypergeometric functions

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1990
A set of new functions, which generalize the generalized hypergeometric functions, is presented. A preliminary analysis is given, including generating functions, differential equations, series and integral representations.
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Note on generating relations associated with the generalized Gauss hypergeometric function

, 2016
The objective of this paper is to establish some new generating relations involving the generalized hypergeometric function and the generalized confluent hypergeometric function by mainly applying Taylor’s theorem.
M. Chand, P. Agarwal, Junesang Choi
semanticscholar   +1 more source

Zeros of generalized hypergeometric functions

Mathematical Proceedings of the Cambridge Philosophical Society, 1973
In this paper we derive the conditions which have to be satisfied in order to obtain some classes of zeros of the generalized hypergeometric series of the typeThese conditions read:
R. D'Auria, A. D'Adda
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Generalized Hypergeometric Function of Unit Argument

, 1970
Two summation theorems are given for the terminating generalized hypergeometric function pFp−1, for arbitrary p, with certain restrictions on the parameters.
B. M. Minton
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Intersection Numbers for Twisted Cycles and the Connection Problem Associated with the Generalized Hypergeometric Function n+1Fn

, 2010
Connection matrices associated with the generalized hypergeometric function n+1 F n are determined by using the intersection number of twisted cycles.
K. Mimachi
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Generalized Hypergeometric Function Solutions on the Transverse Vibration of a Class of Nonuniform Beams

, 1967
With simple beam theory, solutions of normal functions for transverse vibration of a tapered beam are obtained in terms of generalized hypergeometric functions by the method of Frobenius.
Han-Chung Wang
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