Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers
type: Item
instance of: scholarly article
title: Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers
zbMATH Open document ID: 1399.11074
author: Takao Komatsu
published in: Periodica Mathematica Hungarica
publication date: 2018-02-13T00:00:00Z
review text: Poly-Cauchy numbers are defined via a generating function containing the so-called polylogarithm factorial, see \textit{T. Komatsu} [Kyushu J. Math. 67, No. 1, 143--153 (2013; Zbl 1295.11024)]. The author introduces various generalizations of the poly-Cauchy and poly-Bernoulli numbers using the restricted and associated Stirling numbers of the first kind. A number of identities for the new sequences are proved including representations in terms of iterated integrals.
reviewed by: Anatoly N. Kochubei
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 11B68
zbMATH DE Number: 6837916
zbMATH Keywords: poly-Bernoulli numbers
zbMATH Keywords: poly-Cauchy numbers
zbMATH Keywords: Stirling numbers
MaRDI profile type: Publication
full work available at URL: s10998-016-0167-7
OpenAlex ID: W2555688494
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DOI: 10.1007/S10998-016-0167-7
description: scientific article; zbMATH DE number 6837916