ON A FUNDAMENTAL SET OF SOLUTIONS TO THE GENERALIZED HYPERGEOMETRIC EQUATION n+1En PRESENTED BY INTEGRALS OF EULER TYPE

Katsuhisa MIMACHI

doi:10.2206/kyushujm.70.375

Kyushu Journal of Mathematics

Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116

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ON A FUNDAMENTAL SET OF SOLUTIONS TO THE GENERALIZED HYPERGEOMETRIC EQUATION _n₊₁E_nPRESENTED BY INTEGRALS OF EULER TYPE

Katsuhisa MIMACHI

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Keywords: generalized hypergeometric equation _n₊₁E_n, monodromy representations, circuit matrices, loaded or twisted chains

JOURNAL FREE ACCESS

2016 Volume 70 Issue 2 Pages 375-399

DOI https://doi.org/10.2206/kyushujm.70.375

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Abstract

We give a fundamental set of solutions to the generalized hypergeometrice quation _n₊₁E_nin terms of integrals of Euler type and explicitly determine the matrix elements of the circuit matrices with respect to this set of solutions.

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