Abstract
Cauchy’s formula is the key to most, if not all, important results in complex variables, and in particular 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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© 2011 Springer Basel AG
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Alpay, D. (2011). Morera, Liouville, Schwarz, et les autres: First Applications. In: A Complex Analysis Problem Book. Springer, Basel. https://doi.org/10.1007/978-3-0348-0078-5_6
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DOI: https://doi.org/10.1007/978-3-0348-0078-5_6
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Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0077-8
Online ISBN: 978-3-0348-0078-5
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