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Removing false singular points as a method of solving ordinary differential equations

Published online by Cambridge University Press:  12 December 2002

A. V. SHANIN  and
R. V. CRASTER
A. V. SHANIN
Affiliation:
Department of Physics (Acoustics Division), Moscow State University, 119899, Leninskie Gory, Moscow, Russia
R. V. CRASTER
Affiliation:
Department of Mathematics, Imperial College of Science, Technology and Medicine, London SW7 2BZ, UK
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Abstract

A general formalism is described whereby some regular singular points are effectively removed and substantial simplifications ensue for a class of Fuchsian ordinary differential equations, and related confluent equations. These simplifications follow provided the exponents at the singular points satisfy certain relations; explicit, illustrative examples are constructed to demonstrate the ideas.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 13 , Issue 6 , December 2002 , pp. 617 - 639
Copyright
2002 Cambridge University Press

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