𝔖 Bobbio Scriptorium
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Computer generation of complicated transformations and reduction formulas for multiple hypergeometric series

✍ Scribed by A.W. Niukkanen; O.S. Paramonova


Book ID
108314713
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
83 KB
Volume
126
Category
Article
ISSN
0010-4655

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πŸ“œ SIMILAR VOLUMES


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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

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## Abstract By means of the Sears transformations, we establish eight general transformation theorems on bivariate basic hypergeometric series. Several transformation, reduction and summation formulae on the double __q__‐Clausen hypergeometric series are derived as consequences. Copyright Β© 2007 Jo