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Quasi-monomiality and operational identities for Laguerre–Konhauser-type matrix polynomials and their applications
Author(s) -
Maged G. Bin-Saad,
Fadhle B. F. Mohsen
Publication year - 2018
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.2018.22.02
Subject(s) - laguerre polynomials , mathematics , laguerre's method , orthogonal polynomials , classical orthogonal polynomials , class (philosophy) , algebra over a field , matrix (chemical analysis) , wilson polynomials , discrete orthogonal polynomials , pure mathematics , computer science , artificial intelligence , materials science , composite material
It is shown that an appropriate combination of methods, relevant to matrix polynomials and to operational calculus can be a very useful tool to establish and treat a new class of matrix Laguerre-Konhauser polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class of Laguerre-Konhauser matrix polynomials and discuss the links with classical polynomials.

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