Advanced Studies in Pure Mathematics

Branching rules for symmetric hypergeometric polynomials

Jan Felipe van Diejen and Erdal Emsiz

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Abstract

Starting from a recently found branching rule for the six-parameter family of symmetric Macdonald-Koornwinder polynomials, we arrive by degeneration at corresponding branching formulas for symmetric hypergeometric orthogonal polynomials of Wilson, continuous Hahn, Jacobi, Laguerre, and Hermite type.

Article information

Source
Representation Theory, Special Functions and Painlevé Equations — RIMS 2015, H. Konno, H. Sakai, J. Shiraishi, T. Suzuki and Y. Yamada, eds. (Tokyo: Mathematical Society of Japan, 2018), 125-153

Dates
Received: 20 October 2015
Revised: 1 April 2016
First available in Project Euclid: 21 September 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1537499425

Digital Object Identifier
doi:10.2969/aspm/07610125

Mathematical Reviews number (MathSciNet)
MR3837921

Zentralblatt MATH identifier
07039302

Subjects
Primary: 33C52: Orthogonal polynomials and functions associated with root systems 05E05: Symmetric functions and generalizations

Keywords
hypergeometric polynomials symmetric functions branching rules

Citation

van Diejen, Jan Felipe; Emsiz, Erdal. Branching rules for symmetric hypergeometric polynomials. Representation Theory, Special Functions and Painlevé Equations — RIMS 2015, 125--153, Mathematical Society of Japan, Tokyo, Japan, 2018. doi:10.2969/aspm/07610125. https://projecteuclid.org/euclid.aspm/1537499425


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