On Rice's matrix polynomials

DOI10.1007/s13370-013-0149-3zbMath1321.15041OpenAlexW2010382152MaRDI QIDQ471589

Ayman Shehata

Publication date: 17 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-013-0149-3

zbMATH Keywords

convergenceintegral representationdifferential operatorrecurrence relationsmatrix differential equationshypergeometric matrix functionRice's matrix polynomials

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) General theory of ordinary differential operators (47E05) Other hypergeometric functions and integrals in several variables (33C70) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Matrix exponential and similar functions of matrices (15A16)

Related Items (1)

Special matrix functions: characteristics, achievements and future directions

Cites Work

• On a multivariable extension of Jacobi matrix polynomials
• A new extension of Hermite matrix polynomials and its applications
• Some applications of the Hermite matrix polynomials series expansions
• On the hypergeometric matrix function
• 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
• Orthogonal matrix polynomials and higher-order recurrence relations
• Partial differential equations for hypergeometric functions of two argument matrices
• Some properties of gamma and beta matrix functions
• A New Extension of Humbert Matrix Function and Their Properties
• On Hermite-Hermite matrix polynomials
• GENERALIZATIONS OF TWO-INDEX TWO-VARIABLE HERMITE MATRIX POLYNOMIALS
• On generalized Hermite matrix polynomials
• Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument
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