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On Sears’s general transformation formula for basic hypergeometric

✍ Scribed by Song Heng Chan


Book ID
106511427
Publisher
Springer US
Year
2009
Tongue
English
Weight
277 KB
Volume
20
Category
Article
ISSN
1382-4090

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Certain summation and transformation for
✍ Allen R. Miller 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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 Kampé de Fériet function that in turn provides a Kummer-type transformation formu