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Contour Integrals Involving Multi-valued Functions

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An Introduction to Complex Analysis

Abstract

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.

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Correspondence to Ravi P. Agarwal .

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Agarwal, R.P., Perera, K., Pinelas, S. (2011). Contour Integrals Involving Multi-valued Functions. In: An Introduction to Complex Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-0195-7_35

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