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

Ayman Shehata

EN

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

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

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ayman Shehata

Publication Date

March 1, 2019

Submission Date

December 7, 2018

Acceptance Date

-

Published in Issue

Year 2019 Number: 27

IZ

https://izlik.org/JA75PU36BB

APA

Shehata, A. (2019). Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method. Journal of New Theory, 27, 90-104. https://izlik.org/JA75PU36BB

AMA

1.Shehata A. Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method. JNT. 2019;(27):90-104. https://izlik.org/JA75PU36BB

Chicago

Shehata, Ayman. 2019. “Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method”. Journal of New Theory, nos. 27: 90-104. https://izlik.org/JA75PU36BB.

EndNote

Shehata A (March 1, 2019) Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method. Journal of New Theory 27 90–104.

IEEE

[1]A. Shehata, “Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method”, JNT, no. 27, pp. 90–104, Mar. 2019, [Online]. Available: https://izlik.org/JA75PU36BB

ISNAD

Shehata, Ayman. “Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method”. Journal of New Theory. 27 (March 1, 2019): 90-104. https://izlik.org/JA75PU36BB.

JAMA

1.Shehata A. Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method. JNT. 2019;:90–104.

MLA

Shehata, Ayman. “Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method”. Journal of New Theory, no. 27, Mar. 2019, pp. 90-104, https://izlik.org/JA75PU36BB.

Vancouver

1.Ayman Shehata. Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method. JNT [Internet]. 2019 Mar. 1;(27):90-104. Available from: https://izlik.org/JA75PU36BB