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arXiv · 2008.00284

Generalized harmonic numbers via poly-Bernoulli polynomials

Levent Kargın·Mehmet Cenkci·Ayhan Dil·Mümün Can
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Abstract

We present a relationship between the generalized hyperharmonic numbers and the poly-Bernoulli polynomials, motivated from the connections between harmonic and Bernoulli numbers. This relationship yields numerous identities for the hyper-sums and several congruences.

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Levent Kargın, Mehmet Cenkci, Ayhan Dil, Mümün Can. 2020-08-01. Generalized harmonic numbers via poly-Bernoulli polynomials. https://arxiv.org/abs/2008.00284

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