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Furthermore, a Laurent series defines a function f(z) in its annular region of convergence. The Laurent series theorem states that a function analytic in an annulus can be expanded in a Laurent series expansion. This aspect of Laurent Delahousse Lch Par Ses Collgues De France 2 Quoton plays a vital role in practical applications.

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We went on to prove Cauchys theorem and Cauchys integral formula. These revealed some deep properties of analytic functions, e.g. the existence of derivatives of all orders. Our goal in this topic is to express analytic functions as innite power series. This will lead us to Taylor series. This aspect of Laurent Delahousse Lch Par Ses Collgues De France 2 Quoton plays a vital role in practical applications.

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• Exercises for Taylor Series and Laurent Series - gatech.edu.
• Laurent-series.DVI - East Tennessee State University.

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