Displaying similar documents to “Dixon's formula and identities involving harmonic numbers.”

Some extensions of Chu's formulas and further combinatorial identities

Said Zriaa, Mohammed Mouçouf (2024)

Mathematica Bohemica

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We present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.

Integrals of logarithmic and hypergeometric functions

Anthony Sofo (2016)

Communications in Mathematics

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Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. In this paper we explore many relations and explicitly derive closed form representations of integrals of logarithmic, hypergeometric functions and the Lerch phi transcendent in terms of zeta functions and sums of alternating harmonic numbers.