A new relation including \(_{2}F_{2}\) between Laguerre and Hermite matrix polynomials

DOI10.1016/j.joems.2014.05.005zbMath1327.33002OpenAlexW2093606014MaRDI QIDQ895165

Bayram Çekim

Publication date: 26 November 2015

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2014.05.005

zbMATH Keywords

Laguerre matrix polynomialsHermite matrix polynomialshypergeometric matrix functions

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) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

Special matrix functions: characteristics, achievements and future directions

Uses Software

• mftoolbox

Cites Work

• On a multivariable extension of Jacobi matrix polynomials
• Some applications of the Hermite matrix polynomials series expansions
• On the hypergeometric matrix function
• Laguerre matrix polynomials and systems of second-order differential equations
• Scattering theory and matrix orthogonal polynomials on the real line
• Matrix cubic splines for progressive 3D imaging
• A connection between Laguerre's and Hermite's matrix polynomials
• Functions of Matrices
• Generating Functions for Bessel and Related Polynomials
• Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials
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