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Certain bilateral generating relations for generalized hypergeometric functions
Authors:Maya Lahiri  Bavanari Satyanarayana
Institution:(1) Section of Mathematics, Mahila Mahavidyalaya, Banaras Hindu University, 221 005 Varanasi, India
Abstract:Recently, we introduced a class of generalized hypergeometric functionsI n:(b q)/α:(a p) (x, w) by using a difference operator Δ x,w , where 
$$\Delta _{x,w} f(x)\frac{{f(x + w) - f(x)}}{w}$$
. In this paper an attempt has been made to obtain some bilateral generating relations associated withI n ga (x, w). Each result is followed by its applications to the classical orthogonal polynomials.
Keywords:Generalized hypergeometric functions  difference operator  bilateral generating relations  classical orthogonal polynomials
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