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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 18, Issue 3 Article
Research Article

ON SOME NEW GENERATING FUNCTIONS OF HYPERGEOMETRIC POLYNOMIALS

C
Chaudhary Wali Mohammad Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,
J
Jahan Ara Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi - 110025,
Volume 18, Issue 3 Pages 67-86 December 30, 2022 461 downloads
Article overview

Abstract

This paper contains mainly three theorems involving Kamp$\acute{e}$ de F$\acute{e}$riet's function $F^{(2)}$ and expressed in terms of single and double Laplace and Beta integrals. The theorems, in turn, yield, as special cases, a number of linear, bilinear and bilateral generating functions of generalized polynomials of Rice, Jacobi polynomials, Ultraspherical, Generalized Laguerre, Bedient polynomials and other polynomials hypergeometric in nature. One variable special cases of generalized polynomials are useful in several applied problems.

Keywords and Phrases

LinearBilinear and Bilateral Generating FunctionsEulerian integrals of first and second kindHankel's contour integralKamp$\acute{e}$ de F$\acute{e}$riet's double hypergeometric function $F^{(2)}{[xy]}$Srivastava's triple hypergeometric function $F^{(3)}{[xyz]}$ and Orthogonal polynomials.

AMS Subject Classification

33C05, 33C20, 33C45, 33C65, 33C70.

Reference information

How to Cite

Chaudhary Wali Mohammad, Jahan Ara (2022). ON SOME NEW GENERATING FUNCTIONS OF HYPERGEOMETRIC POLYNOMIALS. South East Asian Journal of Mathematics and Mathematical Sciences, 18(3), 67-86.
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