Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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2. Suppose f is holomorphic in an open set UCC and a E U. Show that for any integer n > 0 there is a unique holomorphic function h:U → C such that f(z) = f(a)+f'(a)(z-a)+ f"(a)²- a)² 2! (z – a)" +f(m) (a). | +(z-a)"+'h(z), ze U. n! n+1
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Transcribed Image Text:2. Suppose f is holomorphic in an open set UCC and a E U. Show that for any integer n > 0 there is a unique holomorphic function h:U → C such that f(z) = f(a)+f'(a)(z-a)+ f"(a)²- a)² 2! (z – a)" +f(m) (a). | +(z-a)"+'h(z), ze U. n! n+1
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