[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c160167

ON SEVERAL NEW CONTIGUOUS FUNCTION RELATIONS FOR k-HYPERGEOMETRIC FUNCTION WITH TWO PARAMETERS

Chinra, Sivamani (Department of Mathematics School of Physical Sciences Central University of Kerala)
Kamalappan, Vilfred (Department of Mathematics School of Physical Sciences Central University of Kerala)
Rakha, Medhat A. (Department of Mathematics Faculty of Science Suez Canal University)
Rathie, Arjun K. (Department of Mathematics School of Physical Sciences Central University of Kerala)

Publication Information

Communications of the Korean Mathematical Society / v.32, no.3, 2017 , pp. 637-651 More about this Journal

Abstract

Very recently, Mubeen, et al. [6] have obtained fifteen contiguous function relations for k-hypergeometric functions with one parameter by the same technique developed by Gauss. The aim of this paper is to obtain seventy-two new and interesting contiguous function relations for k-hypergeometric functions with two parameters. Obviously, for $k{\rightarrow}1$ we recover the results obtained by Cho, et al. [2] and Rakha, et al. [8].

Keywords

contiguous function relations; k-hypergeometric functions;

Citations & Related Records

Reference

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