The Ramanujan Journal

, Volume 2, Issue 4, pp 499-509

First online:

A Hypergeometric Hierarchy for the Andrews Evaluations

  • D. StantonAffiliated withSchool of Mathematics, University of Minnesota

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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'.

hypergeometric series