Laurent Series
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5. Taylor and Laurent series Complex sequences and series
www.math.hkust.edu.hk5. Taylor and Laurent series Complex sequences and series An infinite sequence of complex numbers, denoted by {zn}, can be considered as a function defined on a set of positive integers into the unextended complex plane. For example, we take zn= n+ 1 2n so that the complex sequence is {zn} = ˆ1 + i 2, 2 + i 22, 3 + i 23,··· ˙.
Advanced Engineering Mathematics
static2.wikia.nocookie.netCHAPTER15 Laurent Series, Residues, and Contour Integration 791 15.1 Complex Power Series and Taylor Series 791 15.2 Uniform Convergence 811 15.3 Laurent Series and the Classification of Singularities 816 15.4 Residues and the Residue Theorem 830 15.5 Evaluation of Real Integrals by Means of Residues 839 CHAPTER16 The Laplace Inversion ...
4.- Series. Criterios de convergencia. Series de Taylor y ...
rpduarte.fisica.uson.mx4.- Series. Criterios de convergencia. Series de Taylor y Laurent a) Introducción. Series de funciones reales. b) Convergencia de secuencias y series. c) Series de Taylor. d) Series de Laurent. e) Propiedades adicionales de las series. i. Continuidad de una serie de potencias. ii. Integración y derivación de series de potencias. iii.