Article overview
Abstract
The present paper mainly concerns with three theorems involving generating functions expressed in terms of single and double Laplace and Beta integrals. These theorems have been applied to obtain bilinear and bilateral generating functions involving polynomials of Mittag- Lefler, Madhekar- Thakare, Gottlieb, Jacobi, Konhauser, Laguerre and other polynomials hypergeometric in nature. One variable special cases of the hypergeometric polynomials are important in several applied problems.
Keywords and Phrases
Bilinear and bilateral generating functionsEulerian
integrals of first and second kindHankel’s contour integralKamp´e de F´eriet’s
double hypergeometric functionSrivastava’s triple hypergeometric function F (3)Orthogonal polynomials.
AMS Subject Classification
Primary 33A30; Secondary 33A65.
Reference information
How to Cite
Chaudhary Wali Mohd., M. I. Qureshi, Kaleem A. Quraishi, Ram Pal (2014). Some Bilinear and Bilateral Hypergeometric Generating Relations. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 3(2), 39-54.