Non-Integer Valued Winding Numbers and a Generalized Residue Theorem

We define a generalization of the winding number of a piecewise C1 cycle in the complex plane which has a geometric meaning also for points which lie on the cycle. The computation of this winding number relies on the Cauchy principal value but is also possible in a real version via an integral with...

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Bibliographic Details
Main Authors: Norbert Hungerbühler, Micha Wasem
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2019/6130464
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