紀要論文 MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC FUNCTION _<n+1>F_n AND THEIR REDUCIBILITY

Mimachi, Katsuhisa

70 ( 1 )  , pp.105 - 129 , 2016-05-19 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NII書誌ID(NCID):AA10994346
内容記述
We consider two specific monodromy representations on the space of solutions of the generalized hypergeometric equation _<n+1>E_n, which is satisfied by the generalized hypergeometric function _<n+1>F_n. We express the matrix elements of the monodromy representations in each of the representations, determine a necessary and sufficient condition for each of the representations being irreducible, and give examples of subrepresentations when the representation is reducible.

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