Behavior of Analytic Mappings

Ravi P. Agarwal (), Kanishka Perera () and Sandra Pinelas ()
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Ravi P. Agarwal: Florida Institute of Technology, Department of Mathematics
Kanishka Perera: Florida Institute of Technology, Department of Mathematical Sciences
Sandra Pinelas: Azores University, Department of Mathematics

Chapter Lecture 38 in An Introduction to Complex Analysis, 2011, pp 253-257 from Springer

Abstract: Abstract In this lecture, we shall use the Rouché Theorem to investigate the behavior of the mapping f generated by an analytic function w = f(z). Then, we shall study some properties of the inverse mapping f-1. We shall also discuss functions that map the boundaries of their domains to the boundaries of their ranges. Such results are of immense value for constructing solutions of the Laplace equation with boundary conditions.

Date: 2011
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DOI: 10.1007/978-1-4614-0195-7_38

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