Results 1 to 10 of about 43 (36)
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
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On the Triple Lauricella–Horn–Karlsson q-Hypergeometric Functions
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
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
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Some of the next articles are maybe not open access.
Formulas for Computing the Lauricella Function in the Case of Crowding of Variables
Computational Mathematics and Mathematical Physics, 2023S I Bezrodnykh
exaly
Analytic continuation of Lauricella's functions , and
Integral Transforms and Special Functions, 2020S I Bezrodnykh
exaly