Results 11 to 20 of about 107,962 (311)

Linearly Independent Solutions and Integral Representations for Certain Quadruple Hypergeometric Function

open access: yesJournal of Function Spaces, 2021
Recently, hypergeometric functions of four variables are investigated by Bin-Saad and Younis. In this manuscript, our goal is to initiate a new quadruple hypergeometric function denoted by X844, and then, we ensure the existence of solutions of systems ...
Anvar Hasanov, Jihad Younis, Hassen Aydi
doaj   +1 more source

Implementation of summation theorems of Andrews and Gessel-Stanton

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Generalized hypergeometric functions and their natural generalizations in one and several variables appear in many mathematical problems and their applications.
M.I. Qureshi, T.R. Shah
doaj   +1 more source

Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
v3: Proposition 4.3 ...
van de Bult, Fokko J., Rains, Eric M.
openaire   +5 more sources

Analytical expression for the exact curved surface area and volume of hyperboloid of two sheets via Mellin-Barnes type contour integration [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
In this article, we aim at obtaining the analytical expression (not previously found and recorded in the literature) for the exact curved surface area of a hyperboloid of two sheets in terms of Appell's double hypergeometric function of second kind and ...
M.A. Pathan, M. Qureshi, Javid Majid
doaj   +1 more source

On the maximum value of a confluent hypergeometric function

open access: yesComptes Rendus. Mathématique, 2022
We study the maximum value of the confluent hypergeometric function with oscillatory conditions of parameters. As a consequence, we obtain new inequalities for the Gauss hypergeometric function.
Fejzullahu, Bujar Xh.
doaj   +1 more source

A (p,q)-extension of Srivastava's triple hypergeometric function HB and its properties [PDF]

open access: yes, 2019
In this paper, we obtain a (p,q)-extension of Srivastava's triple hypergeometric function HB(⋅), by using the extended Beta function Bp,q(x,y) introduced by Choi et al. (2014).
Dar, S. A., Paris, R. B.
core   +1 more source

Recursion Rules for the Hypergeometric Zeta Functions [PDF]

open access: yes, 2013
The hypergeometric zeta function is defined in terms of the zeros of the Kummer function M(a, a + b; z). It is established that this function is an entire function of order 1.
Byrnes, Alyssa   +3 more
core   +2 more sources

Rarefied elliptic hypergeometric functions [PDF]

open access: yes, 2018
Two exact evaluation formulae for multiple rarefied elliptic beta integrals related to the simplest lens space are proved. They generalize evaluations of the type I and II elliptic beta integrals attached to the root system $C_n$. In a special $n=1$ case,
Spiridonov, V.
core   +3 more sources

The Confluent Hypergeometric Beta Distribution

open access: yesMathematics, 2023
The confluent hypergeometric beta distribution due to Gordy has been known since the 1990s, but not much of is known in terms of its mathematical properties.
Saralees Nadarajah, Malick Kebe
doaj   +1 more source

Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions [PDF]

open access: yes, 2016
25 ...
Deines, Alyson   +4 more
openaire   +2 more sources

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