Abstract
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.
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© 2011 Springer Science+Business Media, LLC
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Agarwal, R.P., Perera, K., Pinelas, S. (2011). Analytic Functions I. In: An Introduction to Complex Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-0195-7_6
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DOI: https://doi.org/10.1007/978-1-4614-0195-7_6
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-0194-0
Online ISBN: 978-1-4614-0195-7
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