Subuhi Khan, Ghazala Yasmin, Archana Mittal

On Generating Relations Involving Generalized Gegenbauer Polynomials

In this paper, generating relations involving generalized Gegenbauer polynomials $C_n^{(\mu)}(x,y;\alpha)$ are obtained by constructing a three-dimensional Lie algebra isomorphic to special linear algebra sl(2). Further, a number of new interesting relations involving various generalized polynomials are obtained as applications of these generating relations.

Generalized Gegenbauer polynomials, Lie group, Lie algebra, generating relations.

MSC 2000: 33C50, 33C80, 33C05