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Complex Analysis : Homotopic and Holomorphic Functions

Let be curves in an n open set U. suppose is homotopic to and is homotopic to. Show that is homotopic to .

Let where h(z) is holomorphic on an open set U, and h(z) for . Let C be a closed curve homologous to 0 in U such that . Show that

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Solution Summary

Homotopic and Holomorphic Functions are investigated. The solution is detailed and well presented.