Explicit expressions for higher order binomial convolutions of numerical sequences

DOI10.1007/s00025-019-1005-zzbMath1414.05040OpenAlexW2921356497WikidataQ128217624 ScholiaQ128217624MaRDI QIDQ2422200

Alberto Lekuona, José A. Adell

Publication date: 18 June 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1005-z

zbMATH Keywords

Stirling numbersBernoulli numbersexponential generating functionCauchy numbersApostol-Euler numbershigher order convolutions

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Probability distributions: general theory (60E05) Combinatorial identities, bijective combinatorics (05A19)

Uses Software

• DLMF

Cites Work

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• Approximation by \(B\)-spline convolution operators. A probabilistic approach
• Sums of products of Bernoulli numbers
• Closed form expressions for Appell polynomials
• Binomial convolution and transformations of Appell polynomials
• The Cauchy numbers
• Product of uniform distribution and Stirling numbers of the first kind
• Third and higher order convolution identities for Cauchy numbers