Cauchy-Riemann Equations and $$\mathbb{C}$$ -differentiable Functions

Daniel Alpay ()
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Daniel Alpay: Ben Gurion University of the Negev, Department of Mathematics

Chapter Chapter 4 in A Complex Analysis Problem Book, 2011, pp 143-191 from Springer

Abstract: Abstract The definitions of limit and continuity depend really on the metric space structure of C. All the usual results on continuity of sums, products, quotient and composition still hold here, and we will not recall them. These are local properties. The specific structure of C, or of its subsets, will come into play when one studies the existence of a continuous function in a given set.

Keywords: Power Series; Entire Function; Power Series Expansion; Open Unit Disk; Fibonacci Number (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-0348-0078-5_4

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