Journal of Integer Sequences, Vol. 11 (2008), Article 08.2.7

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas

Tian-Xiao He
Department of Mathematics and Computer Science
Illinois Wesleyan University
Bloomington, IL 61702-2900


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.

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(Concerned with sequences A000262 A052844 A084358 A129652 A129653 and A133289 .)

Received November 20 2007; revised version received April 21 2008. Published in Journal of Integer Sequences, July 5 2008.

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