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Integral Representations of Solutions of Differential Equations Free from Accessory Parameters

✍ Scribed by Yoshishige Haraoka

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
359 KB
Volume
169
Category
Article
ISSN
0001-8708

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✦ Synopsis

We show that every accessory parameter free system of differential equations of Okubo normal form has integral representation of solutions. The proof is constructive; we study the change of solutions under the operations}the extension and the restriction, which have been introduced by Yokoyama [Construction of systems of differential equations of Okubo normal form with rigid monodromy, preprint] in order to construct every such system of differential equations. Several examples are given.

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