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Programming and Computer Software

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01-03-2020

Procedures for Searching Laurent and Regular Solutions of Linear Differential Equations with the Coefficients in the Form of Truncated Power Series

Authors: S. A. Abramov, A. A. Ryabenko, D. E. Khmelnov

Published in: Programming and Computer Software | Issue 2/2020

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Abstract

Linear ordinary differential equations whose coefficients are infinite (formal) power series given in a truncated form are considered. Computer algebra procedures (implemented in Maple) for constructing solutions of two forms are suggested. The procedures find the greatest number of series terms occurring in the solutions that can be found for the given truncated series—coefficients.

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The package and the Maple session with examples of use of the procedures described are available at the address http://www. ccas.ru/ca/TruncatedSeries

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Title: Procedures for Searching Laurent and Regular Solutions of Linear Differential Equations with the Coefficients in the Form of Truncated Power Series
Authors: S. A. Abramov
A. A. Ryabenko
D. E. Khmelnov
Publication date: 01-03-2020
Publisher: Pleiades Publishing
Published in: Programming and Computer Software / Issue 2/2020
Print ISSN: 0361-7688
Electronic ISSN: 1608-3261
DOI: https://doi.org/10.1134/S0361768820020024

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