Integrals and Polygamma Representations for Binomial Sums
Anthony Sofo
School of Engineering and Science
Victoria University
PO Box 14428
Melbourne City, VIC 8001
Australia
Abstract:
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.
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Received December 27 2009;
revised versions received February 16 2010.
Published in Journal of Integer Sequences, February 23 2010.
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