A sum involving binomial coefficient

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zh3f

[tex]sum_{i=k}^{n} {i \choose k}i^{-t}[/tex]

where t is a constant.

Does it have a closed form?

Last edited: Jul 22, 2010

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Eynstone

A closed form is possible only for integral values of t (that too, if you can solve the differential equation involving the generating function).

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