Monodromy of the generalized hypergeometric equation in the Frobenius basis Articles uri icon

publication date

  • March 2015

start page

  • 495

end page

  • 518

issue

  • 3

volume

  • 26

International Standard Serial Number (ISSN)

  • 0019-3577

Electronic International Standard Serial Number (EISSN)

  • 1872-6100

abstract

  • We consider monodromy groups of the generalized hypergeometric equation ... in a suitable basis, closely related to the Frobenius basis. We pay particular attention to the maximally unipotent case, where ... , and present a theorem that enables us to determine the form of the corresponding monodromy matrices in the case where ... is a product of cyclotomic polynomials.

subjects

  • Mathematics

keywords

  • generalized hypergeometric equation; monodromy; frobenius basis; mellin-barnes integral; non-resonant; maximally unipotent