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Certain summation and transformation formulas for generalized hypergeometric series
Authors:Allen R Miller
Institution:Formerly Professor of Mathematics at George Washington University, 1616 18th Street NW #210, Washington, DC 20009-2525, USA
Abstract:We derive summation formulas for generalized hypergeometric series of unit argument, one of which upon specialization reduces to Minton’s summation theorem. As an application we deduce a reduction formula for a certain Kampé de Fériet function that in turn provides a Kummer-type transformation formula for the generalized hypergeometric function pFp(x).
Keywords:33C20  33C50
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