Results 11 to 20 of about 41 (35)

Certain fractional integral formulas involving the product of generalized Bessel functions. [PDF]

open access: yesScientificWorldJournal, 2013
We apply generalized operators of fractional integration involving Appell’s function F3(·) due to Marichev‐Saigo‐Maeda, to the product of the generalized Bessel function of the first kind due to Baricz. The results are expressed in terms of the multivariable generalized Lauricella functions.
Baleanu D, Agarwal P, Purohit SD.
europepmc   +2 more sources

On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables

open access: yesJournal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.
Anvar Hasanov   +3 more
wiley   +1 more source

Decomposition Formulas for Triple q‐Hypergeometric Functions

open access: yesInternational Journal of Combinatorics, Volume 2014, Issue 1, 2014., 2014
In the spirit of Hasanov, Srivastava, and Turaev (2006), we introduce new inverse operators together with a more general operator and find a summation formula for the last one. Based on these operators and the earlier known q‐analogues of the Burchnall‐Chaundy operators, we find 15 symbolic operator formulas.
Thomas Ernst, R. Yuster
wiley   +1 more source

Algebraic A-hypergeometric functions and their monodromy

open access: yes, 2013
The study of hypergeometric functions started in 1813 with a paper by Gauss. Hypergeometric functions are generalizations of classical elementary functions such as arcsin and log.
Sub Algebra,Geometry&Mathem. Logic begr.   +2 more
core  

Certain Quadruple Hypergeometric Series and their Integral Representations

open access: yes, 2019
While investigating the Exton\u27s list of twenty one hyper-geometric functions of four variables and the Sharma\u27s and Parihar\u27s list of eighty three hyper-geometric functions of four variables, we noticed existence of new hyper-geometric series of
Bin-Saad, Maged, Younis, Jihad
core  
Some of the next articles are maybe not open access.

Analytic continuation of Lauricella's functions , and

Integral Transforms and Special Functions, 2020
S I Bezrodnykh
exaly  

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