Some relations satisfied by Hermite-Hermite matrix polynomials

DOI10.21136/MB.2016.0001-15zbMath1424.33025OpenAlexW2558841051MaRDI QIDQ5271004

Lalit Mohan Upadhyaya, Ayman Shehata

Publication date: 3 July 2017

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2016.0001-15

zbMATH Keywords

Rodrigues formulaorthogonality propertymatrix generating functionsassociated Hermite-Hermite polynomialsgeneralized Hermite-Hermite matrix polynomialsHermite-Hermite polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Classical operational calculus (44A45)

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