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Physical Sciences and Mathematics Commons

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Applied Mathematics

Tian-Xiao He

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2008

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Full-Text Articles in Physical Sciences and Mathematics

A Symbolic Operator Approach To Power Series Transformation-Expansion Formulas, Tian-Xiao He Jun 2008

A Symbolic Operator Approach To Power Series Transformation-Expansion Formulas, Tian-Xiao He

Tian-Xiao He

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.