- Journal of New Theory
- Issue: 27
- Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method
Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method
Authors : Ayman Shehata
Pages : 90-104
View : 11 | Download : 6
Publication Date : 2019-03-01
Article Type : Research
Abstract :The object of the present paper is to derive the generating formulae for the Gegen bauer and modified Gegenbauer matrix polynomials by introducing a partial differential operator and constructing the Lie algebra representation formalism of special linear algebra by using Weis ner’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