EULER-RELATED SUMS

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SOFO ANTHONY

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-7

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Information Journal Paper

Title

EULER-RELATED SUMS

Author(s)

SOFO ANTHONY | Issue Writer Certificate

Keywords

HARMONIC NUMBERS

BINOMIAL COEFFICIENTS AND GAMMA FUNCTION

POLYGAMMA FUNCTION

COMBINATORIAL

Abstract

Purpose: The purpose of this paper is to develop a set of identities for Euler type sums of products of HARMONIC NUMBERS and reciprocal binomial coefficients.Method: We use analytical methods to obtain our results.Results: We obtain identities for variant Euler sums of the type ¥Sn=1H2n/n (n+k)k, and its finite counterpart, which generalize some results obtained by other authors.Conclusions: Identities are successfully achieved for the sums under investigation. Some published results have been successfully generalized.

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