Harmonic number identities via polynomials with \(r\)-Lah coefficients
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Publication:2208984
DOI10.5802/crmath.53zbMath1478.11032arXiv1911.06801OpenAlexW3084759924MaRDI QIDQ2208984
Publication date: 28 October 2020
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06801
Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75) Special sequences and polynomials (11B83)
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Cites Work
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- Almost all hyperharmonic numbers are not integers
- Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers
- Euler sums of hyperharmonic numbers
- Are the hyperharmonics integral? A partial answer via the small intervals containing primes
- The \(r\)-Stirling numbers
- Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence
- Hyperharmonic series involving Hurwitz zeta function
- Some identities involving the Riemann zeta function
- Computer proofs of a new family of harmonic number identities.
- Hypergeometric series and harmonic number identities
- Series transformation formulas of Euler type, Hadamard product of series, and harmonic number identities
- The \(r\)-Lah numbers
- A series transformation formula and related polynomials
- A symmetric algorithm for hyperharmonic and Fibonacci numbers
- Geometric polynomials: properties and applications to series with zeta values
- Extended Bernoulli and Stirling matrices and related combinatorial identities
- Combinatorial sums and finite differences
- Generalization of Mellin derivative and its applications
- Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I
- Summation formulae involving harmonic numbers
- Binomial transform and the backward difference
- Identities between polynomials related to Stirling and harmonic numbers
- Some formulae for products of Fubini polynomials with applications
- About the Non-Integer Property of Hyperharmonic Numbers
- Euler Sums and Contour Integral Representations
- Harmonic number identities involving telescoping method and derivative operator
- Evaluation of Euler-like sums via Hurwitz zeta values
- Higher order generalized geometric polynomials
- Notes on the Binomial Transform
- A Stirling Encounter with Harmonic Numbers
- Euler sums of generalized hyperharmonic numbers
- The Operator and Its Applications to Series
- Explicit evaluation of Euler sums
- Polynomials related to harmonic numbers and evaluation of harmonic number series II
- Some Identities Involving Harmonic Numbers
- An introduction to hyperharmonic numbers
- POWER SERIES WITH SKEW-HARMONIC NUMBERS, DILOGARITHMS, AND DOUBLE INTEGRALS
