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Solution of a second-order linear differential equation with polynomial coefficients and Fuchsian point at zero

Solution of a second-order linear differential equation with polynomial coefficients and Fuchsian... We specify the structure of the power series determining a solution of a Fuchsian second-order differential equation with polynomial coefficients in a neighborhood of zero. The power series is represented via hypergeometric functions of fractional order. The structure of the coefficients of the series is clarified. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Solution of a second-order linear differential equation with polynomial coefficients and Fuchsian point at zero

Kruglov, V.
Differential Equations , Volume 47 (1) – Mar 9, 2011
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References (7)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Difference and Functional Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266111010034
Publisher site
See Article on Publisher Site

Abstract

We specify the structure of the power series determining a solution of a Fuchsian second-order differential equation with polynomial coefficients in a neighborhood of zero. The power series is represented via hypergeometric functions of fractional order. The structure of the coefficients of the series is clarified.

Journal

Differential Equations – Springer Journals

Published: Mar 9, 2011

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