Spherical Functions of Fundamental [...]-Types Associated with the [...]-Dimensional Sphere

In this paper, we describe the irreducible spherical functions of fundamental [...]-types associated with the pair [...] in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same [...]-fundamental type are encoded in new examp...

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Bibliographic Details
Published in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2014-01, Vol.10
Main Authors: Tirao, Juan Alfredo, Zurrián, Ignacio Nahuel
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper, we describe the irreducible spherical functions of fundamental [...]-types associated with the pair [...] in terms of matrix hypergeometric functions. The output of this description is that the irreducible spherical functions of the same [...]-fundamental type are encoded in new examples of classical sequences of matrix-valued orthogonal polynomials, of size [...] and [...], with respect to a matrix-weight [...] supported on [...]. Moreover, we show that [...] has a second order symmetric hypergeometric operator [...]. [ProQuest: [...] denotes formulae omitted.]
ISSN:1815-0659
DOI:10.3842/SIGMA.2014.071