New kind of special matrix functions and generating functions

DOI10.1142/S1793557118500286zbMath1390.15070MaRDI QIDQ4609517

Fatima Mohammed al-Samadi, Ahmed Ali Al-Gonah

Publication date: 3 April 2018

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionsoperational methodsHermite matrix polynomialsspecial matrix function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Exponential and trigonometric functions (33B10)

Cites Work

• Lacunary generating functions for the Laguerre polynomials
• A new extension of Hermite matrix polynomials and its applications
• Some applications of the Hermite matrix polynomials series expansions
• Laguerre matrix polynomials and systems of second-order differential equations
• Orthogonal matrix polynomials and systems of second order differential equations
• Bilateral generating functions and operational methods
• Generalized polynomials and associated operational identities
• Partial differential equations for hypergeometric functions of two argument matrices
• Derivation of the Hille-Hardy type formulae and operational methods
• Some relations on Humbert matrix polynomials
• GENERALIZATIONS OF TWO-INDEX TWO-VARIABLE HERMITE MATRIX POLYNOMIALS
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