On new extensions of the generalized Hermite matrix polynomials | Zendy

Ayman Shehata | Zendy

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On new extensions of the generalized Hermite matrix polynomials

Author(s) -

Ayman Shehata

Publication year - 2019

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2018.22.17

Subject(s) - mathematics , hermite polynomials , algebra over a field , matrix (chemical analysis) , matrix function , pure mathematics , recurrence relation , symmetric matrix , mathematical analysis , eigenvalues and eigenvectors , materials science , physics , quantum mechanics , composite material

Various families of generating matrix functions have been established in diverse ways. The objective of the present paper is to investigate these generalized Hermite matrix polynomials, and derive some important results for them, such as, the generating matrix functions, matrix recurrence relations, an expansion of x(n) I, finite summation formulas, addition theorems, integral representations, fractional calculus operators, and certain other implicit summation formulae.

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