Harmonic number identities via polynomials with \(r\)-Lah coefficients. (Identités sur les nombres harmonique via des polynômes à coefficients \(r\)-Lah.) (English. French summary) Zbl 1478.11032
Summary: In this paper, polynomials whose coefficients involve \(r\)-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers. Moreover, skew-hyperharmonic number is introduced and its basic properties are investigated.
MSC:
| 11B75 | Other combinatorial number theory |
| 11B68 | Bernoulli and Euler numbers and polynomials |
| 11B73 | Bell and Stirling numbers |
| 11B83 | Special sequences and polynomials |
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