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Certain transformations and summations for generalized hypergeometric series with integral parameter differences

✍ Scribed by Miller, A. R.; Paris, R. B.


Book ID
121323637
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
126 KB
Volume
22
Category
Article
ISSN
1065-2469

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Certain summation and transformation for
✍ Allen R. Miller πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 487 KB

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 KampΓ© de FΓ©riet function that in turn provides a Kummer-type transformation formu