Abstract
In this lecture, we shall present Cauchy’s integral formula that expresses the value of an analytic function at any point of a domain in terms of the values on the boundary of this domain, and has numerous important applications. We shall also prove a result that paves the way for the Cauchy’s integral formula for derivatives given in the next lecture.
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© 2011 Springer Science+Business Media, LLC
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Agarwal, R.P., Perera, K., Pinelas, S. (2011). Cauchy’s Integral Formula. In: An Introduction to Complex Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-0195-7_17
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DOI: https://doi.org/10.1007/978-1-4614-0195-7_17
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-0194-0
Online ISBN: 978-1-4614-0195-7
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