Georgian Mathematical Journal 13 (2006), No. 1, 085--099
Copyright Heldermann Verlag 2006
On Generating Relations Involving Generalized Gegenbauer Polynomials
Subuhi Khan
Dept. of Mathematics, Muslim University, Aligarh 202002, India
subuhi@lycos.com
Ghazala Yasmin
Women's College, Muslim University, Aligarh 202002, India
Archana Mittal
Dept. of Mathematics, Muslim University, Aligarh 202002, India
[Abstract-pdf]
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.
Keywords: Generalized Gegenbauer polynomials, Lie group, Lie algebra, generating relations.
MSC: 33C50, 33C80, 33C05
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