Results 21 to 30 of about 12,448 (236)

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

DEGENERATE GAUSS HYPERGEOMETRIC FUNCTIONS

open access: bronzeKyushu Journal of Mathematics, 2007
22 ...
Raimundas Vidūnas
openalex   +4 more sources

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

open access: yesOpen Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi   +4 more
doaj   +1 more source

Some Inequalities of Extended Hypergeometric Functions

open access: yesMathematics, 2021
Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain   +3 more
doaj   +1 more source

A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms

open access: yesJournal of Mathematics, 2022
The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new.
Vandana Palsaniya   +3 more
doaj   +1 more source

A Note on Superspirals of Confluent Type

open access: yesMathematics, 2020
Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function.
Jun-ichi Inoguchi   +2 more
doaj   +1 more source

Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

open access: yesMathematics, 2021
The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain   +4 more
doaj   +1 more source

On Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations

open access: yesJournal of Mathematics, 2022
The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables. The main results are obtained by using the properties of Gamma and beta functions. The novel
Maged G. Bin-Saad   +4 more
doaj   +1 more source

Large parameter cases of the Gauss hypergeometric function [PDF]

open access: greenJournal of Computational and Applied Mathematics, 2003
21 pages, 4 ...
Nico M Temme
openalex   +4 more sources

ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS

open access: yesMalaysian Journal of Computing, 2021
Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
doaj   +1 more source

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