A symbolic operator approach to several summation formulas for power series

DOI10.1016/j.cam.2004.08.002zbMath1064.65002OpenAlexW2002991666MaRDI QIDQ1763757

Peter Jau-Shyong Shiue, Tian-Xiao He, David C. Torney, Leetsch C. Hsu

Publication date: 22 February 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.08.002

zbMATH Keywords

numerical examplesgenerating functionpower seriesEulerian numbersEulerian fractionEulerian polynomialNewton's interpolationEvertt's interpolationGauss interpolationseries transformssymbolic summation operator

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Numerical summation of series (65B10)

Related Items

Eulerian fractions and Stirling, Bernoulli and Euler functions with complex order parameters and their impact on the polylogarithm function ⋮ Scale invariant operators and combinatorial expansions ⋮ A symbolic operator approach to several summation formulas for power series. II ⋮ \(Q\)-analogues of symbolic operators ⋮ Convergence of the summation formulas constructed by using a symbolic operator approach ⋮ Symbolization of generating functions; an application of the Mullin-Rota theory of binomial enumeration

Cites Work

• On certain summation problems and generalizations of Eulerian polynomials and numbers
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