Biorthogonal matrix polynomials related to Jacobi matrix polynomials

DOI10.1016/j.camwa.2011.08.063zbMath1236.15048OpenAlexW1969264010MaRDI QIDQ2429010

Fatma Taşdelen, Serhan Varma

Publication date: 22 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.08.063

zbMATH Keywords

orthogonal matrix polynomialsbiorthogonal polynomialsJacobi matrix polynomialsmatrix generating functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Matrices over function rings in one or more variables (15A54)

Cites Work

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• Biorthogonal polynomials suggested by the Jacobi 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
• Orthogonal matrix polynomials and systems of second order differential equations
• Jacobi matrix differential equation, polynomial solutions, and their properties
• Scattering theory and matrix orthogonal polynomials on the real line
• A note on certain biorthogonal polynomials
• Some properties of gamma and beta matrix functions

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