New properties of \(r\)-Stirling series

DOI10.1007/s10474-007-7047-9zbMath1174.11026OpenAlexW2139048024MaRDI QIDQ949850

István Mezö

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-7047-9

zbMATH Keywords

hypergeometric seriesStirling numberspolylogarithmshyperharmonic numbers\(r\)-Stirling numbersLerch transcendentNielsen's generalized polylogarithms

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Higher logarithm functions (33B30)

Related Items (8)

A note on the \(r\)-Whitney numbers of Dowling lattices ⋮ A convolution for complete and elementary symmetric functions ⋮ The partial \(r\)-Bell polynomials ⋮ An asymptotic formula for \(r\)-Bell numbers with real arguments ⋮ The \(r\)-Stirling numbers of the first kind in terms of the Möbius function ⋮ Fourier series of sums of products of r-derangement functions ⋮ Unnamed Item ⋮ Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence

Cites Work

• On Stirling numbers and Euler sums
• The \(r\)-Stirling numbers
• On asymptotics, Stirling numbers, gamma function and polylogs
• The asymptotic behavior of the Stirling numbers of the first kind
• Asymptotic Estimates of Stirling Numbers
• Asymptotic Development of the Stirling Numbers of the First Kind
• On an Intriguing Integral and Some Series Related to ζ(4)
• Automorphism-invariant representations of real reductive groups
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• Unnamed Item
• Unnamed Item

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