Certain summation and transformation formulas for generalized hypergeometric series |
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Authors: | Allen R Miller |
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Institution: | Formerly Professor of Mathematics at George Washington University, 1616 18th Street NW #210, Washington, DC 20009-2525, USA |
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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). |
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Keywords: | 33C20 33C50 |
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