A pair of operator summation formulas and their applications

DOI10.1016/j.camwa.2009.07.033zbMath1189.05013OpenAlexW2039026869MaRDI QIDQ979901

Leetsch C. Hsu, Dongsheng Yin, Tian-Xiao He

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.033

zbMATH Keywords

Catalan numberStirling numbersBernoulli numberdelta operatorgeneralized harmonic number

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10)

Related Items (5)

Finite Mixed Sums wih Harmonic Terms ⋮ On an extension of Riordan array and its application in the construction of convolution-type and Abel-type identities ⋮ Euler-related sums ⋮ Mixed binomial sum identities ⋮ A family of shifted harmonic sums

Cites Work

• Symbolization of generating functions; an application of the Mullin-Rota theory of binomial enumeration
• A Stirling like sequence of rational numbers
• Two Notes on Notation
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