Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method

Year 2019, Issue: 27, 90 - 104, 01.03.2019

Ayman Shehata

Abstract

The object of the present paper is to derive the generating formulae for the Gegenbauer and modified Gegenbauer matrix polynomials by introducing a partial differential operator

and constructing the Lie algebra representation formalism of special linear algebra by using Weisner’s group-theoretic approach. Application of our results is also pointed out.

Keywords

Gegenbauer matrix polynomials, Generating matrix functions, Matrix differential equations, Differential operator, Group-theoretic method

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