International Journal of Mathematics and Mathematical Sciences
Volume 3 (1980), Issue 2, Pages 305-310
doi:10.1155/S0161171280000221

Bilateral generating functions for a new class of generalized Legendre polynomials

Abstract

Recently Chatterjea (1) has proved a theorem to deduce a bilateral generating function for the Ultraspherical polynomials. In the present paper an attempt has been made to give a general version of Chatterjea's theorem. Finally, the theorem has been specialized to obtain a bilateral generating function for a class of polynomials {Pn(x;α,β)} introduced by Bhattacharjya (2).