Geodesic
Integrals and polygamma representations for binomial sums
Journal of integer sequences, Tome 13 (2010) no. 2
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.
Classification : 05A10, 11B65, 05A19, 33C20
Keywords: double integral, combinatorial identity, harmonic number, polygamma function, recurrence 
@article{JIS_2010__13_2_a1,
     author = {Sofo,  Anthony},
     title = {Integrals and polygamma representations for binomial sums},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {2},
     zbl = {1228.05300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_2_a1/}
}
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Sofo,  Anthony. Integrals and polygamma representations for binomial sums. Journal of integer sequences, Tome 13 (2010) no. 2. http://geodesic.mathdoc.fr/item/JIS_2010__13_2_a1/