Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0886.33014
Milne, Stephen C.
Balanced $\sb 3\phi\sb 2$ summation theorems for $U(n)$ basic hypergeometric series. (English)
[J] Adv. Math. 131, No.1, 93-187 (1997). ISSN 0001-8708

The Bailey transform is {\it G. E. Andrews}' [Proc. Symp. Pure Math. Am. Math. Soc., Columbus, Ohio 1978, Proc. Symp. Pure Math. 34, 1-24 (1979; Zbl 0403.33002)] codification in terms of matrix inversions of a technique of W. N. Bailey for generating new Rogers-Ramanujan type identities. It can also be used to exhibit the equivalence of certain pairs of identities such as the summation formulae for the terminating balanced $_3\phi_2$ and the very-well-poised $_6\phi_5$. In this paper, the author moves all of this machinery up to the context of multiple basic hypergeometric series very-well-poised on $U(n+1)$. It is then used to recreate much of the classical theory of basic hypergeometric series in the more general context of multiple series over $U(n+1)$.
[D.M.Bressoud (St.Paul)]

MSC 2000:: *33D20

Keywords: Bailey transform; Rogers-Ramanujan type identities; basic hypergeoemtric series

Citations: Zbl 0403.33002

Cited in: Zbl 1181.39012 Zbl 1148.33015 Zbl 1113.33020

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]