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On Generating Relations Involving Generalized Gegenbauer Polynomials

On Generating Relations Involving Generalized Gegenbauer Polynomials

Abstract In this paper, generating relations involving generalized Gegenbauer polynomials 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.