Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
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,...
Saved in:
Date: | 2009 |
---|---|
Main Authors: | Langer, R., Schlosser, M.J., Warnaar, S.O. |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2009
|
Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/149148 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture / R. Langer, M.J. Schlosser, S.O. Warnaar // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
-
Macdonald Polynomials and Multivariable Basic Hypergeometric Series
by: Schlosser, M.J.
Published: (2007) -
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
by: Schlosser, M.J., et al.
Published: (2016) -
On transformation formulas for theta hypergeometric functions
by: Denis, R.Y., et al.
Published: (2012) -
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
by: van de Bult, F.J., et al.
Published: (2009) -
Gustafson-Rakha-Type Elliptic Hypergeometric Series
by: Rosengren, H.
Published: (2017)