Geodesic
Certain Generating Matrix Functions of Legendre Matrix Polynomials Using Lie Algebraic Method
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 353

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 33C45, 33C50 33C80, 15A60
Keywords: Legendre matrix polynomials, Legendre differential matrix equation, generating matrix functions, Lie algebra 
@article{KJM_2020_44_3_a1,
     author = {Ayman Shehata},
     title = {Certain {Generating} {Matrix} {Functions} of {Legendre} {Matrix} {Polynomials} {Using} {Lie} {Algebraic} {Method}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {353 },
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_3_a1/}
}
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Ayman Shehata. Certain Generating Matrix Functions of Legendre Matrix Polynomials Using Lie Algebraic Method. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 353 . http://geodesic.mathdoc.fr/item/KJM_2020_44_3_a1/