DECOMPOSITION FORMULAS AND INTEGRAL REPRESENTATIONS FOR SOME EXTON HYPERGEOMETRIC FUNCTIONS

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Published: Nov 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.4.745
Keywords:
multiple hypergeometric functions, inverse pairs of symbolic operators, generalized inverse pairs of symbolic operators, Exton hypergeometric functions, Horn and Gauss hypergeometric functions, Euler type integrals, integral representations, Mellin-Barnes integrals
Mathematics Subject Classification (2020):
Primary 33C20, 33C65, Secondary 33C05, 44A45, 11Y35

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Junesang Choi
Department of Mathematics, Dongguk University
Anvar Hasanov
Department of Mathematics, Dongguk University
Mamasali Turaev
Department of Mathematics, Dongguk University

Abstract





Generalizing the Burchnall-Chaundy operator method, the authors are aiming at presenting certain decomposition formulas for the chosen six Exton functions expressed in terms of Appell's functions F3 and F4, Horn's functions H3 and H4, and Gauss's hypergeometric function F . We also give some integral representations for the Exton functions Xi (i = 6, 8, 14) each of whose kernels contains the Horn's function H4.





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Article Details

Issue
Vol. 24 No. 4 (2011)
Section
Articles