Results 21 to 30 of about 549,355 (294)
Certain subclasses of analytic functions defined by a new general linear operator
Известия Иркутского государственного университета: Серия "Математика", 2018 Hypergeometric functions are of special interests among the complex analysts especially in looking at the properties and criteria of univalent. Hypergeometric functions have been around since 1900’s and have special applications according to their own ...
A.R.S. Juma, M. Darus
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Algebraic A-hypergeometric functions [PDF]
Inventiones mathematicae, 2010 14 pages, 3 figures, research ...
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A New Identity for Generalized Hypergeometric Functions and Applications
Axioms, 2019 We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (
Mohammad Masjed-Jamei, Wolfram Koepf
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ϵ-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus
Nuclear Physics B, 2023 We present a new methodology, suitable for implementation on computer, to perform the ϵ-expansion of hypergeometric functions with linear ϵ dependent Pochhammer parameters in any number of variables.
Souvik Bera
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Cuspidal hypergeometric functions [PDF]
Methods and Applications of Analysis, 1999 18 pages, no figures. This paper is dedicated to Richard Askey, on the occasion of his 65th birthday.
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Powers of a hypergeometric function [PDF]
Integral Transforms and Special Functions, 2006 A new expansion for integral powers of the hypergeometric function corresponding to a special case of the incomplete beta function is summarized, and consequences, including two new sums involving digamma (psi) functions are presented.
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On hypergeometric functions and function spaces
Journal of Computational and Applied Mathematics, 2002 AbstractThe aim of this paper is to discuss the role of hypergeometric functions in function spaces and to prove some new results for these functions. The first part of this paper proves results such as monotone, convexity and concavity properties of sums of products of hypergeometric functions.
R. Balasubramanian +2 more
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On a new result for the hypergeometric function [PDF]
Applied Mathematical Sciences, 2021 The aim of this note is to provide a new identity connected with the Gauss hypergeometric function. This is achieved using results of certain combinatorial identities and a hypergeometric function approach.
Richard B. Paris, Arjun K. Rathie
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Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]
Sahand Communications in Mathematical AnalysisThe generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function. The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan +2 more
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Elliptic Hypergeometric Functions [PDF]
, 2020 Lecture notes for a course given at the summer school OPSF-S6, College Park, Maryland, 11-15 July 2016.
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