On Matrix polynomials associated with Hermite polynomials | Zendy

Maged G. Bin-Saad | Zendy; M. A. Pathan | Zendy; Fadhl AL-Sarhi | Zendy

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On Matrix polynomials associated with Hermite polynomials

Author(s) -

Maged G. Bin-Saad,

M. A. Pathan,

Fadhl AL-Sarhi

Publication year - 2015

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.46.2015.1722

Subject(s) - mathematics , classical orthogonal polynomials , discrete orthogonal polynomials , gegenbauer polynomials , chebyshev polynomials , polynomial matrix , wilson polynomials , orthogonal polynomials , difference polynomials , hermite polynomials , legendre polynomials , sylvester matrix , hahn polynomials , pure mathematics , matrix (chemical analysis) , variable (mathematics) , algebra over a field , mathematical analysis , matrix polynomial , polynomial , materials science , composite material

In this paper, an extension of the Hermite matrix polynomials is introduced. Some relevant matrix functions appear in terms of the two-index and two-variable and p-index and p-variable Hermite matrix polynomials. Furthermore, in order to give qualitative properties of this family of matrix polynomials, the Legendre and Chebyshev matrix polynomials of sveral variables are introduced.

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