Article
A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas
Journal of Integer Sequences
(2008)
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.
Keywords
- Sheffer-type polynomials,
- symbolic operator,
- power series,
- transformation-expansion,
- generalized Eulerian fractions,
- Stirling number of the second kind.
Disciplines
Publication Date
Summer July, 2008
Publisher Statement
The Journal of Integer Sequence is published by the University of Waterloo, https://cs.uwaterloo.ca/journals/JIS/.
Citation Information
Tian-Xiao He. "A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas" Journal of Integer Sequences Vol. 11 Iss. 2 (2008) Available at: http://works.bepress.com/tian_xiao_he/22/