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http://dx.doi.org/10.5831/HMJ.2014.36.3.531

THE INCOMPLETE LAURICELLA AND FIRST APPELL FUNCTIONS AND ASSOCIATED PROPERTIES  

Choi, Junesang (Department of Mathematics, Dongguk University)
Parmar, Rakesh K. (Department of Mathematics, Government College of Engineering and Technology)
Chopra, Purnima (Department of Mathematics, Marudhar Engineering College)
Publication Information
Honam Mathematical Journal / v.36, no.3, 2014 , pp. 531-542 More about this Journal
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 ${\gamma}_D^{(n)}$ and ${\Gamma}_D^{(n)}$ 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;
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