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Recursive Algorithms for the Summation of Certain Series

✍ Scribed by Saffren, M. M.; Ng, E. W.


Book ID
118201451
Publisher
Society for Industrial and Applied Mathematics
Year
1971
Tongue
English
Weight
442 KB
Volume
2
Category
Article
ISSN
0036-1410

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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