Results 11 to 20 of about 104,423 (265)

GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]

open access: yesHonam Mathematical Journal, 2011
Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Lee, Dong Myung   +3 more
openaire   +4 more sources

Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function

open access: yesJournal of Inequalities and Applications, 2018
In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively ...
Kottakkaran Sooppy Nisar   +4 more
doaj   +3 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

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

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

Properties of generalized univariate hypergeometric functions [PDF]

open access: yes, 2006
Based on Spiridonov's analysis of elliptic generalizations of the Gauss hypergeometric function, we develop a common framework for 7-parameter families of generalized elliptic, hyperbolic and trigonometric univariate hypergeometric functions.
B. Nassrallah   +27 more
core   +4 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

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

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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