Modified Laguerre matrix polynomials | Zendy

Levent Kargın | Zendy; Veli Kurt | Zendy

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Modified Laguerre matrix polynomials

Author(s) -

Levent Kargın,

Veli Kurt

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1410069k

Subject(s) - laguerre polynomials , mathematics , pascal matrix , laguerre's method , matrix function , matrix differential equation , matrix (chemical analysis) , classical orthogonal polynomials , recurrence relation , pure mathematics , symmetric matrix , algebra over a field , orthogonal polynomials , differential equation , mathematical analysis , eigenvalues and eigenvectors , physics , materials science , quantum mechanics , composite material

In this study, we introduce the class of modified Laguerre matrix polynomials. Some formulas related to an explicit representation, matrix recurrence relations and Rodrigues formula are deduced. Several families of bilinear and bilateral generating matrix functions for modified Laguerre matrix polynomials are derived. Finally by examining the explicit representation of both Laguerre matrix polynomials and modified Laguerre matrix polynomials, we give a generalization for Laguerre-type matrix polynomials.

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