Abstract
Cauchy’s formula is the key to most, if not all, important results in complex variables, and in particular to the existence of a power series expansion around each point of analyticity, the maximum modulus principle and the fact that the zeros of a non-identically vanishing analytic function are isolated. In this chapter we present exercises on these topics.
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© 2016 Springer International Publishing AG
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Alpay, D. (2016). Morera, Liouville, Schwarz, et les autres: First Applications. In: A Complex Analysis Problem Book. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42181-0_6
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DOI: https://doi.org/10.1007/978-3-319-42181-0_6
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-42179-7
Online ISBN: 978-3-319-42181-0
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