August 21, 2025AxiomsOpen Access

Approximation by Power Series of Functions

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This paper demonstrates a derivative-matching approach for power series in numerical mathematics, suggesting potential applications.

Constructing power series using derivative-matching approximations enhances function representation.
This method relies on knowledge of special values of Bell polynomials of the second kind.
The approach offers a new perspective for approximating functions using numerical techniques.
Applications in numerical mathematics may improve computational methods and efficiency.

A. Liptaj (2025) studied this question.

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