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Certain generating matrix functions of Legendre matrix polynomials using Lie algebraic method

Research Authors
Ayman Shehata
Research Abstract

The main aim of this present paper is to investigate a new of interesting generating matrix relation for Legendre matrix polynomials with the help of a Lie group-theoretic method. Certain properties are well known but some of them are believed to be novel families of matrix differential recurrence relations and generating matrix functions for these matrix polynomials. Special cases of new results are also
given here as applications.

Research Department
Research Journal
Kragujevac Journal of Mathematics
Research Publisher
Vol. 44, No.3 (2020), 353–368
Research Rank
1
Research Vol
Vol. 44, No.3
Research Website
https://imi.pmf.kg.ac.rs/kjm/en/index.php?page=accepted-papers&start=136&end=137
Research Year
2019
Research Pages
353–368