A new extension of generalized Hermite matrix polynomials

DOI10.1007/s40840-014-0010-3zbMath1311.33008OpenAlexW2159582937MaRDI QIDQ2017704

Lalit Mohan Upadhyaya, Ayman Shehata

Publication date: 23 March 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0010-3

zbMATH Keywords

generating matrix functionmatrix recurrence relationsgeneralized Chebyshev and Legendre matrix polynomialsgeneralized Hermite matrix polynomials

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) Other functions defined by series and integrals (33E20)

Related Items (3)

Certain properties of generalized Hermite-type matrix polynomials using Weisner's group theoretic techniques ⋮ Extended Gauss hypergeometric matrix functions ⋮ On new extensions of the generalized Hermite matrix polynomials

Cites Work

• 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
• Closed form general solution of the hypergeometric matrix differential equation
• Bounding Hermite matrix polynomials
• Jacobi matrix differential equation, polynomial solutions, and their properties
• Orthogonal matrix polynomials and applications
• A connection between Laguerre's and Hermite's matrix polynomials
• On Hermite-Hermite matrix polynomials
• GENERALIZATIONS OF TWO-INDEX TWO-VARIABLE HERMITE MATRIX POLYNOMIALS
• On generalized Hermite matrix polynomials
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