SPHERICAL FUNCTIONS, THE COMPLEX HYPERBOLIC PLANE AND THE HYPERGEOMETRIC OPERATOR

DOI10.1142/S0129167X06003886zbMath1110.33008MaRDI QIDQ3421591

Pablo Román, Juan Tirao

Publication date: 7 February 2007

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

zbMATH Keywords

orthogonal polynomialsspherical functionshypergeometric functioncomplex projective plane

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46)

Related Items (8)

Pre-sequences of matrix orthogonal polynomials ⋮ THE GENERALIZED MATRIX VALUED HYPERGEOMETRIC EQUATION ⋮ Asymptotics of matrix valued orthogonal polynomials on \([-1, 1\)] ⋮ Spherical functions associated with the three-dimensional sphere ⋮ Spherical analysis on homogeneous vector bundles of the 3-dimensional Euclidean motion group ⋮ Matrix elements of irreducible representations of \(\mathrm{GL} (n + 1) \times\mathrm{GL} (n + 1)\) and multivariable matrix-valued orthogonal polynomials ⋮ Matrix spherical analysis on nilmanifolds ⋮ Solutions at infinity of the generalized matrix-valued hypergeometric equation

Cites Work

• Matrix inner product having a matrix symmetric second-order differential operator
• Matrix valued Jacobi polynomials
• Matrix valued spherical functions associated to the complex projective plane
• MATRIX VALUED SPHERICAL FUNCTIONS ASSOCIATED TO THE THREE DIMENSIONAL HYPERBOLIC SPACE
• The matrix-valued hypergeometric equation

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