Finite-gap solutions of the Fuchsian equation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We find a new class of the Fuchsian equations, which have an algebraic geometric solutions with the parameter belonging to a hyperelliptic curve. Methods of calculating the algebraic genus of the curve, and its branching points, are suggested. Numerous examples are given.
19 pages, LaTeX2e (AMSLaTeX)

Keywords

Classical Analysis and ODEs, Mathematical Physics, Spectral Theory, 33E30 (Primary); 34L40; 14H70 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69021

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310465
 http://arxiv.org/abs/math/0310465

Collections

arXiv