Argument Principle and Rouché and Hurwitz Theorems

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 37 in An Introduction to Complex Analysis, 2011, pp 247-252 from Springer

Abstract: Abstract We begin this lecture with an extension of Theorem 26.3 known as the Argument Principle. This result is then used to establish Rouché’s Theorem, which provides locations of the zeros and poles of meromorphic functions. We shall also prove an interesting result due to Hurwitz.

Date: 2011
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DOI: 10.1007/978-1-4614-0195-7_37

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