Dixon's formula and identities involving harmonic numbers.

Wang, Xiaoxia; Li, Mei

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Some extensions of Chu's formulas and further combinatorial identities

Said Zriaa, Mohammed Mouçouf (2024)

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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.

Some examples in harmonic analysis

B. Johnson (1973)

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$f$ -harmonic maps which map the boundary of the domain to one point in the target.

Course, Neil (2007)

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Non-closed thin sets in harmonic analysis

S. Hartman (1975)

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Harmonic functions on Alexandrov spaces and their applications.

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Electronic Research Announcements of the American Mathematical Society [electronic only]

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Proof of a hypothesis on some segments of harmonic series and a new hypothesis

S. Simić (1979)

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Integrals of logarithmic and hypergeometric functions

Anthony Sofo (2016)

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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.

A binomial coefficient identity associated with Beukers' conjecture on Apéry numbers.

Chu, Wenchang (2004)

The Electronic Journal of Combinatorics [electronic only]

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On nonhomogeneous $A$ -harmonic equations and 1-harmonic equations.

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Journal of Inequalities and Applications [electronic only]

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On higher gradients of harmonic functions

A. Calderón, A. Zygmund (1964)

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On $ℳ$ -harmonic space $ℬ_{p}^{s}$ .

Jevtić, M. (1995)

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