A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas

Research output: Journal ArticleArticlepeer-review

Abstract

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.

Original languageAmerican English
JournalJournal of Integer Sequences
Volume11
StatePublished - Jul 2008

Keywords

  • Sheffer-type polynomials
  • symbolic operator
  • power series
  • transformation-expansion
  • generalized Eulerian fractions
  • Stirling number of the second kind.

Disciplines

  • Applied Mathematics
  • Mathematics

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