Rigidity of monodromies for Appell's hypergeometric functions | Zendy

Yoshishige Haraoka | Zendy; Tatsuya Kikukawa | Zendy

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Rigidity of monodromies for Appell's hypergeometric functions

Author(s) -

Yoshishige Haraoka,

Tatsuya Kikukawa

Publication year - 2015

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2015.35.5.567

Subject(s) - mathematics , lauricella hypergeometric series , rigidity (electromagnetism) , appell series , pure mathematics , hypergeometric function , generalized hypergeometric function , hypergeometric function of a matrix argument , composite material , materials science

For monodromy representations of holonomic systems, the rigidity can be defined. We examine the rigidity of the monodromy representations for Appell's hypergeometric functions, and get the representations explicitly. The results show how the topology of the singular locus and the spectral types of the local monodromies work for the study of the rigidity

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