Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
REDUCIBILITY OF THE SYSTEMS OF DIFFERENTIAL EQUATIONS SATISFIED BY APPELL'S F2,F3 AND F4
Katsuhisa MIMACHI, Takeshi SASAKI
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Keywords: Appell's hypergeometric systems, Appell's hypergeometric functions F2, F3 and F4, contiguity operators, reducibility
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2015 Volume 69 Issue 2 Pages 429-435

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Abstract

By using the contiguity operators, we give a simple and elementary derivation of sufficient conditions that Appell's hypergeometric systems for F2, F3 and F4 are reducible.

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© 2015 Faculty of Mathematics, Kyushu University
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