THE INCOMPLETE LAURICELLA AND FIRST APPELL FUNCTIONS AND ASSOCIATED PROPERTIES

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 3,  2014, pp.531-542
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.3.531
Title & Authors
THE INCOMPLETE LAURICELLA AND FIRST APPELL FUNCTIONS AND ASSOCIATED PROPERTIES
Choi, Junesang; Parmar, Rakesh K.; Chopra, Purnima;

Abstract
Recently, Srivastava et al. [18] introduced the incomplete Pochhammer symbol and studied some fundamental properties and characteristics of a family of potentially useful incomplete hypergeometric functions. Here we introduce the incomplete Lauricella function $\small{{\gamma}_D^{(n)}}$ and $\small{{\Gamma}_D^{(n)}}$ of n variables, and investigate certain properties of the incomplete Lauricella functions, for example, their various integral representations, differential formula and recurrence relation, in a rather systematic manner. Some interesting special cases of our main results are also considered.
Keywords
Gamma functions;incomplete gamma function;Pochhammer symbol;incomplete Pochhammer symbol;incomplete generalized hypergeometric functions;Lauricella functions;Appell function;Bessel and modified Bessel functions;incomplete first Appell function;incomplete Lauricella function of n variables;
Language
English
Cited by
1.
THE INCOMPLETE GENERALIZED τ-HYPERGEOMETRIC AND SECOND τ-APPELL FUNCTIONS,;;

대한수학회지, 2016. vol.53. 2, pp.363-379
1.
THE INCOMPLETE GENERALIZED τ-HYPERGEOMETRIC AND SECOND τ-APPELL FUNCTIONS, Journal of the Korean Mathematical Society, 2016, 53, 2, 363
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