Summation formulas of hyperharmonic numbers with their generalizations

DOI10.1007/s13370-023-01131-yarXiv2103.10658OpenAlexW4388486966MaRDI QIDQ6062915

Takao Komatsu, Rusen Li

Publication date: 2 December 2023

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10658

zbMATH Keywords

Stirling numberssummation formulaehyperharmonic numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A \(q\)-analog of the hyperharmonic numbers
• Faulhaber's theorem on power sums
• Hyperharmonic series involving Hurwitz zeta function
• A series expansion involving the harmonic numbers
• Euler sums of generalized hyperharmonic numbers
• \(q\)-Bernoulli numbers and polynomials
• Summation formulas of \(q\)-hyperharmonic numbers
• On the matrices with the generalized hyperharmonic numbers of order r
• Evaluation of Euler-like sums via Hurwitz zeta values
• Explicit evaluation of Euler sums
• Some Identities Involving Harmonic Numbers
• An introduction to hyperharmonic numbers

This page was built for publication: Summation formulas of hyperharmonic numbers with their generalizations