Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1185.33023
Spiridonov, V. P.
An elliptic incarnation of the Bailey chain. (English)
[J] Int. Math. Res. Not. 2002, No. 37, 1945-1977 (2002). ISSN 1073-7928; ISSN 1687-0247/e

Summary: For the first time a Bailey chain with all entries composed out of the Jacobi theta functions is constructed. This is an elliptic extension of the WP (well-poised) Bailey chain of Andrews and it generates an infinite sequence of identities for theta hypergeometric series. As a particular example, we obtained a new proof of the Frenkel-Turaev elliptic analogue of the Bailey transformation for a terminating $_{10}\Phi_9$ basic hypergeometric series. An elliptic generalization of the Andrews-Berkovich $_{10}\Phi_9\to {}_{12}\Phi_{11}$ transformation formula is derived by employing an elliptic extension of a Bressoud's Bailey pair.

MSC 2000:: *33D15 Basic hypergeometric functions of one variable
33E05 Elliptic functions and integrals

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]