Zobrazeno 1 - 10
of 393
pro vyhledávání: '"Elliptic hypergeometric series"'
Autor:
Bhatnagar, Gaurav, Kumari, Archna
We provide an alternate approach to obtaining expansion formulas on the lines of the well-poised Bailey lemma. We recover results due to Spiridonov and Warnaar and one new formula of this type. These formulas contain an arbitrary sequence as an argum
Externí odkaz:
http://arxiv.org/abs/2403.03623
Autor:
Krotkov, D. I., Spiridonov, V. P.
We derive finite difference equations of infinite order for theta hypergeometric series and investigate the space of their solutions. In general, such infinite series diverge, we describe some constraints on the parameters when they do converge. In p
Externí odkaz:
http://arxiv.org/abs/2307.08002
Autor:
Warnaar, S. Ole
Publikováno v:
Proceedings of the American Mathematical Society, 2005 Feb 01. 133(2), 519-527.
Externí odkaz:
https://www.jstor.org/stable/4097958
Publikováno v:
SIGMA 16 (2020), 088, 21 pages
Multidimensional matrix inversions provide a powerful tool for studying multiple hypergeometric series. In order to extend this technique to elliptic hypergeometric series, we present three new multidimensional matrix inversions. As applications, we
Externí odkaz:
http://arxiv.org/abs/2005.02203
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Rosengren, Hjalmar
Publikováno v:
SIGMA 13 (2017), 037, 11 pages
We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov. The trigonometric limit case of this result is due to Gustafson and Rakha. As applications, we obtain two further multivariable elliptic Jackson sum
Externí odkaz:
http://arxiv.org/abs/1701.08960
New duality transformation formulas are proposed for multiple elliptic hypergeometric series of type $BC$ and of type $C$. Various transformation and summation formulas are derived as special cases to recover some previously known results.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1410.6921
Autor:
Zabrodin, A.
Publikováno v:
J.Geom.Phys.61:1733-1754,2011
Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins l and -l-1 are constructed using the technique of intertwining vectors for elliptic L-operator. They are expressed in terms of elliptic hypergeometric
Externí odkaz:
http://arxiv.org/abs/1012.1228
Autor:
Rosengren, Hjalmar
Publikováno v:
Int. Math. Res. Not. 2011 (2011), 2861-2920
We introduce a generalization of elliptic 6j-symbols, which can be interpreted as matrix elements for intertwiners between corepresentations of Felder's elliptic quantum group. For special parameter values, they can be expressed in terms of multivari
Externí odkaz:
http://arxiv.org/abs/1003.3730
Publikováno v:
SIGMA 5 (2009), 055, 20 pages
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
Externí odkaz:
http://arxiv.org/abs/0905.4033