He, Tian-Xiao

A symbolic operator approach to power series transformation-expansion formulas

J. Integer Seq. 11(2), Article ID 08.2.7, 19 p., electronic only (2008)

Summary

Summary: In this paper we discuss a kind of symbolic operator method by making use of the defined Sheffer-type polynomial sequences and their generalizations, which can be used to construct many power series transformation and expansion formulas. The convergence of the expansions are also discussed.

Mathematics Subject Classification

41A58, 41A80, 65B10, 05A15, 33C45, 39A70

Keywords/Phrases

Sheffer-type polynomials, symbolic operator, power series, transformationexpansion, generalized Eulerian fractions, Stirling number of the second kind

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