Infinite sums as linear combinations of polygamma functions
نویسندگان
چکیده
منابع مشابه
Sums in Terms of Polygamma Functions
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 [8] and produce new identities.
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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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We use integral identities to establish a relationship with sums that include polygamma functions, moreover we obtain some closed forms of binomial sums. In particular cases, we establish some identities for Polygamma functions
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2007
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa130-3-3