Solutions at infinity of the generalized matrix-valued hypergeometric equation

DOI10.1016/j.aml.2009.08.005zbMath1229.34130OpenAlexW2007544106MaRDI QIDQ1049248

S. Simondi, Pablo Román

Publication date: 8 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.08.005

zbMATH Keywords

spherical functionshypergeometric functionmatrix-valued orthogonal polynomialshypergeometric equationmatrix-valued hypergeometric function

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Hypergeometric functions (33C99) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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• SPHERICAL FUNCTIONS, THE COMPLEX HYPERBOLIC PLANE AND THE HYPERGEOMETRIC OPERATOR
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• THE GENERALIZED MATRIX VALUED HYPERGEOMETRIC EQUATION
• The algebra of differential operators associated to a family of matrix-valued orthogonal polynomials: Five instructive examples
• The matrix-valued hypergeometric equation