Results 1 to 10 of about 41 (35)
Algebraicity of the Appell–Lauricella and Horn hypergeometric functions [PDF]
Journal of Differential Equations, 2012 24 pages, 6 tables, 2 ...
Sub Algebra,Geometry&Mathem. Logic begr. +3 more
exaly +8 more sources
On the Triple Lauricella–Horn–Karlsson q-Hypergeometric Functions [PDF]
Axioms, 2020 The Horn–Karlsson approach to find convergence regions is applied to find convergence regions for triple q-hypergeometric functions. It turns out that the convergence regions are significantly increased in the q-case; just as for q-Appell and q ...
Thomas Ernst
doaj +2 more sources
Certain fractional integral formulas involving the product of generalized Bessel functions. [PDF]
ScientificWorldJournal, 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
Journal 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
Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Nuclear Physics B, 2020 We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
doaj +1 more source
Decomposition Formulas for Triple q‐Hypergeometric Functions
International 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
Some of the next articles are maybe not open access.
Analytic continuation of Lauricella's functions , and
Integral Transforms and Special Functions, 2020S I Bezrodnykh
exaly