Abstract
In this chapter we shall prove the holomorphic dependence of the integral on the parameters; we shall explain the connection between branches of integrals and the monodromy group in homology; we shall prove that the integral can be expanded in a series in a neighbourhood of the given value of the parameter.
V.I. Arnold (deceased)
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© 2012 Springer Science+Business Media New York
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Arnold, V.I., Gusein-Zade, S.M., Varchenko, A.N. (2012). The simplest properties of the integrals. In: Singularities of Differentiable Maps, Volume 2. Modern Birkhäuser Classics. Birkhäuser, Boston. https://doi.org/10.1007/978-0-8176-8343-6_10
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DOI: https://doi.org/10.1007/978-0-8176-8343-6_10
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Publisher Name: Birkhäuser, Boston
Print ISBN: 978-0-8176-8342-9
Online ISBN: 978-0-8176-8343-6
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