2011 | OriginalPaper | Chapter
Contour Integrals Involving Multi-valued Functions
Authors : Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
Published in: An Introduction to Complex Analysis
Publisher: Springer US
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In previous lectures, we successfully applied contour integration theory to evaluate integrals of real-valued functions. However, often it turns out that the extension of a real function to the complex plane is a multi-valued function. In this lecture, we shall show that by using contours cleverly some such functions can also be integrated.