Hypergeometric Identities Associated with Statistics on Words

George E. Andrews (), Carla D. Savage () and Herbert S. Wilf ()
Additional contact information
George E. Andrews: The Pennsylvania State University, Department of Mathematics
Carla D. Savage: North Carolina State University, Department of Computer Science
Herbert S. Wilf: University of Pennsylvania, Department of Mathematics

A chapter in Advances in Combinatorics, 2013, pp 77-100 from Springer

Abstract: Abstract We show how combinatorial arguments involving a variety of statistics on words can produce nontrivial identities between hypergeometric series in two variables. We establish relationships to the Rogers-Fine identity, Heine’s second transformation, and mock theta functions. Finally, we show that any hypergeometric series of a certain form can be interpreted in terms of generalized statistics on words.

Keywords: Hypergeometric series; Statistics on words (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-30979-3_4

Ordering information: This item can be ordered from
http://www.springer.com/9783642309793

DOI: 10.1007/978-3-642-30979-3_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().