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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
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.
Padé Spline Functions, Tian-Xiao He
Padé Spline Functions, Tian-Xiao He
Tian-Xiao He
We present here the definition of Pad´e spline functions, their expressions, and the estimate of the remainders of pad´e spline expansions. Some algorithms are also given.