A Stirling Encounter with Harmonic Numbers

DOI10.2307/3219141zbMath1063.05002OpenAlexW4243774176WikidataQ55923921 ScholiaQ55923921MaRDI QIDQ4670644

Gregory O. Preston, Arthur T. Benjamin, Jennifer J. Quinn Massey

Publication date: 22 April 2005

Full work available at URL: https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1534&context=hmc_fac_pub

zbMATH Keywords

Stirling numberscombinatorial proof

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05)

Related Items (10)

A linear-time algorithm for the orbit problem over cyclic groups ⋮ Unnamed Item ⋮ On the matrices with the generalized hyperharmonic numbers of order r ⋮ Infinite series around multinomial coefficients and harmonic numbers ⋮ Harmonic number identities via polynomials with \(r\)-Lah coefficients ⋮ Some applications on $q$-analog of the generalized hyperharmonic numbers of order $r,$ $ H_{n}^{r}(\alpha )$ ⋮ Late-time asymptotic solution of nonlinear advection-diffusion equations with equal exponents ⋮ Суммирование на основе комбинаторного представления одинаковых степеней ⋮ Arithmetic theory of harmonic numbers ⋮ Summation formulae involving multiple harmonic numbers

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