Comparative analysis of computational methods for finding Taylor series coefficients in computer algebra systems

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Authors: Melman V. S., Shablya Yu. V., Kruchinin D. V., Kruchinin V. V.

Annotation: In this paper the method of finding the Taylor series coefficients using the generating functions composite was considered. Authors also compare the methods for finding the Taylor series coefficients with different computer algebra systems with a new method realized as a library for the Mathematica.

Keywords: taylor series, taylor series coefficients, generating functions, composite of generating functions, generating functions coefficients, computer algebra systems, comparative analysis