Sofo, Anthony

Integrals and polygamma representations for binomial sums

J. Integer Seq. 13(2), Article ID 10.2.8, 12 p., electronic only (2010)

Summary

Summary: We consider sums involving the product of reciprocal binomial coefficient and polynomial terms and develop some double integral identities. In particular cases it is possible to express the sums in closed form, give some general results, recover some known results in Coffey and produce new identities.

Mathematics Subject Classification

05A10, 11B65, 05A19, 33C20

Keywords/Phrases

double integral, combinatorial identity, harmonic number, polygamma function, recurrence

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