By combining a telescopic summation formula with Kummer– Thomae–Whipple transformation, we prove two nonterminating 3F2(1)- series identities with one of them confirming a conjecture by Milgram (2009) and another one extending a couple of terminating series identities due to Gessel and Stanton (1982).
Telescopic Generalizations for Two 3F2–Series Identities
CHU, Wenchang
2012-01-01
Abstract
By combining a telescopic summation formula with Kummer– Thomae–Whipple transformation, we prove two nonterminating 3F2(1)- series identities with one of them confirming a conjecture by Milgram (2009) and another one extending a couple of terminating series identities due to Gessel and Stanton (1982).File in questo prodotto:
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