@article{article_560388, title={Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method}, journal={Journal of New Theory}, pages={90–104}, year={2019}, author={Shehata, Ayman}, keywords={Gegenbauer matrix polynomials,Generating matrix functions,Matrix differential equations,Differential operator,Group-theoretic method}, abstract={<p> <span style="font-size: 12px;">The object of the present paper is to derive the generating formulae for the Gegen </span> <span style="font-size: 12px;">bauer and modified Gegenbauer matrix polynomials by introducing a partial differential operator </span> </p> <p> <span style="font-size: 12px;">and constructing the Lie algebra representation formalism of special linear algebra by using Weis </span> <span style="font-size: 12px;">ner’s group-theoretic approach. Application of our results is also pointed out. </span> </p>}, number={27}, publisher={Naim ÇAĞMAN}