Unformatted text preview: (a) Taylor series = Holomorphic function (uniquely) (b) coeﬃcients in terms of an integral (c) Classiﬁcation of Zeros (d) Identity Principle and MaxModulus Theorem (e) harmonic series; exp, sin, cos, geometric power series Chapter 9: (and some of Ch. 8) Laurent Series and Singularities (a) double series (b) Singularities: isolated; classiﬁcation into removable, pole, essential (c) singluarities in terms of power series (d) Residues (e) the Argument Principle (f) Rouche’s Theorem 1...
View
Full
Document
This note was uploaded on 06/18/2011 for the course MATH 375 taught by Professor Marchesi during the Spring '10 term at Binghamton.
 Spring '10
 MARCHESI
 Derivative

Click to edit the document details