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Classical elliptic hypergeometric functions and their applications

Classical elliptic hypergeometric functions and their applications
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Transformation Properties of Hypergeometric Functions and Their Applications

Computational Methods and Function Theory, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, Song-Liang, Ma, Xiao-Yan, Chu, Yu-Ming   +2 more
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Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions

Applied Mathematics and Computation, 2015
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Asghar Qadir
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Formula for the Product of Gauss Hypergeometric Functions and Applications

Journal of Mathematical Sciences, 2020
The \(\Gamma\)-series is defined by a lattice \(B \subset \mathbb Z^N\) and a fixed vector \(\gamma \subset \mathbb C^N\). This paper contains a formula for the product of two \(\Gamma\)-series in four variables, connected with the lattice \(B=\mathbb{Z}\langle(1,-1,-1,1)\rangle\). As a consequence of the formula for the product of \(\Gamma\)-series, a
D. V. Artamonov
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Splitting hypergeometric functions over roots of unity

Research in the Mathematical Sciences
We examine hypergeometric functions in the finite field, p-adic and classical settings. In each setting, we prove a formula which splits the hypergeometric function into a sum of lower order functions whose arguments differ by roots of unity.
D. McCarthy, M. Tripathi
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Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications

Indian Journal of Pure and Applied Mathematics, 2022
Miao-Kun Wang, Tie-Hong Zhao, Yu-Ming Chu   +2 more
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ON THE CONSTRUCTION OF (p,k)-HYPERGEOMETRIC FUNCTION AND APPLICATIONS

Fractals, 2022
In this paper, we construct a [Formula: see text]-hypergeometric function by using the Hadamard product, which we call the generalized [Formula: see text]-hypergeometric function. Several properties, namely, convergence properties, derivative formulas, integral representations and differential equations are indicated of this function.
Fuli He, Ahmed Bakhet, Muajebah Hidan, Hala Abd-Elmageed   +3 more
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Applications of Basic Hypergeometric Functions

SIAM Review, 1974
This paper surveys recent applications of basic hypergeometric functions to partitions, number theory, finite vector spaces, combinatorial identities and physics.
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ON EXTENSIONS OF EXTENDED BETA AND GAUSS HYPERGEOMETRIC FUNCTIONS WITH THEIR APPLICATIONS

Journal of Science & Technology
The Beta function and its extensions play a crucial role in the study of some special functions; several researchers have introduced and investigated various extensions of this important function.
M. A. H Kulib, F. F. H. Mohsen
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Kummer and Dixon Summation Theorems: Applications in Hypergeometric Functions and Double Series

Journal of Advances and Scholarly Researches in Allied Education
The Kummer and Dixon summation theorems essentially carry out the essential task of simplifying hypergeometric functions and double series. This essay will cover both the topic and the basic concept of hypergeometric functions as well as the ...
Neelam Pandey, Akanksha Srivastava
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