Some identities on generalized harmonic numbers and generalized harmonic functions

DOI10.1515/dema-2022-0229zbMath1529.11040arXiv2212.14850MaRDI QIDQ6045557

Taekyun Kim, Dae San Kim, Hye Kyung Kim

Publication date: 31 May 2023

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.14850

zbMATH Keywords

generalized harmonic functiongeneralized harmonic numbers of order \(\alpha\)

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Special sequences and polynomials (11B83) Hurwitz and Lerch zeta functions (11M35)

Related Items (1)

Lerch-harmonic numbers related to Lerch transcendent

Cites Work

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• Some summation formulas involving harmonic numbers and generalized harmonic numbers
• Certain summation formulas involving harmonic numbers and generalized harmonic numbers
• On some summation formulas
• On some degenerate differential and degenerate difference operators
• Note on the degenerate gamma function
• Some identities on degenerate \(r\)-Stirling numbers via Boson operators
• Some identities involving degenerate Stirling numbers associated with several degenerate polynomials and numbers
• Combinatorial identities involving degenerate harmonic and hyperharmonic numbers

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