Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2014; 29(2): 239-255

Printed April 1, 2014

https://doi.org/10.4134/CKMS.2014.29.2.239

Copyright © The Korean Mathematical Society.

Shifted harmonic sums of order two

Anthony Sofo

Victoria University

Abstract

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We develop a set of identities for Euler type sums. In particular we investigate products of shifted harmonic numbers of order two and reciprocal binomial coefficients.

Keywords: harmonic numbers, binomial coefficients and gamma function, polygamma function, combinatorial series identities and summation formulas, partial fraction approach, hypergeometric identity

MSC numbers: Primary 05A10, 05A19, 11B65; Secondary 11B83, 11M06, 33B15, 33D60, 33C20

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