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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 055, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.055 (Mi sigma401) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

Robin Langera, Michael J. Schlosserb, S. Ole Warnaarc

a Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Australia
b Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090 Vienna, Austria
c School of Mathematics and Physics, The University of Queensland, Brisbane, QLD 4072, Australia
Full-text PDF (311 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2009.055
Abstract: We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable, basic case.
Keywords: theta functions; Macdonald polynomials; elliptic hypergeometric series.
Received: March 1, 2009; in final form May 19, 2009; Published online May 25, 2009
Bibliographic databases:
Document Type: Article
MSC: 05E05; 33D52; 33D67
Language: English
Citation: Robin Langer, Michael J. Schlosser, S. Ole Warnaar, “Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture”, SIGMA, 5 (2009), 055, 20 pp.
Citation in format AMSBIB
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\by Robin Langer, Michael J.~Schlosser, S.~Ole Warnaar
\paper Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
\jour SIGMA
\yr 2009
\vol 5
\papernumber 055
\totalpages 20
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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