A hypergeometric hierarchy for the andrews evaluations

D. Stanton

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Several 6F5 (1) evaluations are given which generalize Andrews' 5F4 (1) evaluations. All such evaluations are shown to be equivalent to transformations for a 4F3(z). The methodology allows for higher evaluations, for example an 8F7(1) is given which specializes to over one hundred 5F4(1) results, including all of Andrews'.

Original languageEnglish (US)
Pages (from-to)499-509
Number of pages11
JournalRamanujan Journal
Volume2
Issue number4
DOIs
StatePublished - Jan 1 1998

Keywords

  • Hypergeometric series

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