MR2428825
Katsuhisa MIMACHI
Katsuhisa MIMACHI
Connection Matrices Associated with the Generalized Hypergeometric Function ${}_3F_2$
Funkcialaj Ekvacioj. Serio Internacia
51
2008
107--133
http://fe.math.kobe-u.ac.jp/FE/FullPapers/51-1/51_107.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2428825
Connection matrices associated with the generalized hypergeometric function ${}_3F_2$ are determined. Our approach is based on the integral representation, and the theory of twisted homology groups (homology with coefficients in local system). We also consider the related monodromy representation and the monodromy-invariant Hermitian form.
Generalized hypergeometric function，Twisted homology, Connection matrices, Monodromy representation, Monodromy-invariant Hermitian form.
33C20, 33C60, 34M35, 34M40.
51-107
2008
Connection Matrices Associated with the Generalized Hypergeometric Function ${}_3F_2$
Katsuhisa MIMACHI
Katsuhisa MIMACHI
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