# zbMATH — the first resource for mathematics

##### Examples
 Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "straight quotation marks". au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted. Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff. "Quasi* map*" py: 1989 The resulting documents have publication year 1989. so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14. "Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic. dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles. py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses). la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

##### Operators
 a & b logic and a | b logic or !ab logic not abc* right wildcard "ab c" phrase (ab c) parentheses
##### Fields
 any anywhere an internal document identifier au author, editor ai internal author identifier ti title la language so source ab review, abstract py publication year rv reviewer cc MSC code ut uncontrolled term dt document type (j: journal article; b: book; a: book article)
A $q$-analog of a Whipple’s transformation for hypergeometric series in $U(n)$. (English) Zbl 0809.33010
Watson’s $q$-extension of Whipple’s transformation between a balanced series and a very well poised series is a central result in the study of basic hypergeometric functions in one variable. It is the minimal generalization of the Rogers-Ramanujan identities with no quadratic powers of $q$. For more than 15 years, one of the goals that Milne set for himself was to obtain a multivariate version of this identity which was not just an iterate of the one variable identity. He, along with a few others, has developed basic hpergeometric functions associated with $V(n)$. This paper builds on his earlier work and work of Robert Gustafson to find one such extension, and to point out some of the many interesting and beautiful special and limiting cases. Much more needs to be done to interpret limiting case in terms of partitions and other combinatorial objects, but it is clear there are gems here waiting to be discovered.

##### MSC:
 33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.)
Full Text: