On a multivariable extension of Jacobi matrix polynomials

DOI10.1016/j.camwa.2011.02.019zbMath1221.33022OpenAlexW2017009701MaRDI QIDQ639046

Fatma Taşdelen, Bayram Çekim, Rabia Aktaş

Publication date: 18 September 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.019

zbMATH Keywords

recurrence relationgenerating matrix functionJacobi matrix polynomialsmultilinear and multilateral generating matrix functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (6)

Further investigations on the two variables second Appell hypergeometric matrix function ⋮ A new relation including \(_{2}F_{2}\) between Laguerre and Hermite matrix polynomials ⋮ On Rice's matrix polynomials ⋮ Special matrix functions: characteristics, achievements and future directions ⋮ Some results on the first Appell matrix functionF₁(A,B,B′,C;z,w) ⋮ Analytical properties of the two-variables Jacobi matrix polynomials with applications

Cites Work

• A new extension of Hermite matrix polynomials and its applications
• Some applications of the Hermite matrix polynomials series expansions
• On the hypergeometric matrix function
• 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
• Jacobi matrix differential equation, polynomial solutions, and their properties
• Some families of generating functions for the multiple orthogonal polynomials associated with modified Bessel \(K\)-functions
• Orthogonal matrix polynomials and higher-order recurrence relations
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• Partial differential equations for hypergeometric functions of two argument matrices
• A connection between Laguerre's and Hermite's matrix polynomials
• Special Functions for the Symmetric Space of Positive Matrices
• On generalized Hermite matrix polynomials
• The growth of Laguerre matrix polynomials on bounded intervals.
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