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Commun. Korean Math. Soc. 2017; 32(2): 321-332
Online first article October 4, 2016 Printed April 30, 2017
https://doi.org/10.4134/CKMS.c160075
Copyright © The Korean Mathematical Society.
Some integral representations and transforms for extended generalized Appell's and Lauricella's hypergeometric functions
Yongsup Kim
Wonkwang University
In this paper, we generalize the extended Appell's and Lauricella's hypergeometric functions which have recently been introduced by Liu \cite{LIU} and Khan \cite{KG}. Also, we aim at establishing some (presumbly) new integral representations and transforms for the extended generalized Appell's and Lauricella's hypergeometric functions.
Keywords: beta function, Appell functions, Lauricella's hypergeometric functions, Mellin transform
MSC numbers: Primary 33C05, 33C20, 33C65, 33B15, 44A20
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