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The Homotopic Version of the Cauchy Theorem
Автор: Mike, the Mathematician
Загружено: 2025-04-15
Просмотров: 557
Описание:
We prove a more general and very useful version of the Cauchy Theorem. We show that if two closed curves are homotopic in a connected open set, then the integral of a holomorphic function over each of those curves must agree. This will be especially useful when we prove that a function holomorphic on an annulus has a valid Laurent expansion.
#mikethemathematician, #mikedabkowski, #profdabkowski, #complexanalysis, #cauchy
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