Email this article On Convergent Series Expansions of Solutions of the Riccati Equation
- Authors: Samovol V.S.1
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Affiliations:
- National Research University Higher School of Economics
- Issue: Vol 105, No 3-4 (2019)
- Pages: 592-603
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151695
- DOI: https://doi.org/10.1134/S0001434619030325
- ID: 151695
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Abstract
The Riccati equation with coefficients expandable in convergent power series in a neighborhood of infinity are considered. Extendable solutions of such equations are studied. Methods of power geometry are used to obtain conditions for convergent series expansions of these solutions. An algorithm for deriving such series is given.
About the authors
V. S. Samovol
National Research University Higher School of Economics
Author for correspondence.
Email: 555svs@mail.ru
Russian Federation, Moscow, 101000
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