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Published in:
2011 | OriginalPaper | Chapter
Analytic Functions I
Authors : Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
Published in: An Introduction to Complex Analysis
Publisher: Springer US
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In this lecture, using the fundamental notion of limit, we shall define the differentiation of complex functions. This leads to a special class of functions known as analytic functions. These functions are of great importance in theory as well as applications, and constitute a major part of complex analysis. We shall also develop the Cauchy-Riemann equations which provide an easier test to verify the analyticity of a function.