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Morera, Liouville, Schwarz, et les autres: First Applications

In: A Complex Analysis Problem Book

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  • Daniel Alpay

    (Ben-Gurion University of the Negev, Department of Mathematics
    Chapman University, Department of Mathematics)

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.

Suggested Citation

  • Daniel Alpay, 2016. "Morera, Liouville, Schwarz, et les autres: First Applications," Springer Books, in: A Complex Analysis Problem Book, edition 2, chapter 0, pages 293-335, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-42181-0_6
    DOI: 10.1007/978-3-319-42181-0_6
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