THE GENERALIZED MATRIX VALUED HYPERGEOMETRIC EQUATION

DOI10.1142/S0129167X10005970zbMath1191.33005arXiv0708.0360MaRDI QIDQ5306092

Pablo Román, S. Simondi

Publication date: 29 March 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0360

zbMATH Keywords

hypergeometric functionmatrix orthogonal polynomialsfundamental set of solutionsmatrix spherical functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Semisimple Lie groups and their representations (22E46)

Related Items (3)

SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS ⋮ Solutions at infinity of the generalized matrix-valued hypergeometric equation ⋮ Divergence criteria for matrix generalized hypergeometric series

Cites Work

• Matrix valued orthogonal polynomials arising from the complex projective space
• A sequence of matrix valued orthogonal polynomials associated to spherical functions
• SPHERICAL FUNCTIONS, THE COMPLEX HYPERBOLIC PLANE AND THE HYPERGEOMETRIC OPERATOR
• The matrix-valued hypergeometric equation

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