Zeros of Analytic Functions

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 26 in An Introduction to Complex Analysis, 2011, pp 177-182 from Springer

Abstract: Abstract In this lecture, we shall use Taylor’s series to study zeros of analytic functions. We shall show that unless a function is identically zero, about each point where the function is analytic there is a neighborhood throughout which the function has no zero except possibly at the point itself; i.e., the zeros of an analytic function are isolated. We begin by proving the following theorem.

Date: 2011
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DOI: 10.1007/978-1-4614-0195-7_26

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