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Matemáticas Avanzadas para Ingeniería: Serie de Taylor

Matem aticasAvanzadasparaIngenier a: Serie deTaylorDepartamentodeMatem aticasSucesi onPropiedadesTma. TaylorEjemplosMatem aticas Avanzadas para Ingenier a: Serie de TaylorDepartamento de Matem aticasMA3002 Matem aticasAvanzadasparaIngenier a: Serie deTaylorDepartamentodeMatem aticasSucesi onPropiedadesTma. TaylorEjemplosIntroSuponga una Serie de potencias k=0ak(z zo)kPara un valor dez?que pertenezca al interior del c rculo deconvergencia de dicha Serie , el valor l mite de la serieLes unn umero complejo perfectamente definido a partir dez?(aunqueel c alculo deLsea un dolor de cabeza!). En este sentido, setiene una funci on matem atica de variable compleja: el dominioes el interior del c rculo de convergencia de la Serie y cuya reglade asociaci on es el c alculo del valor l mite de la Serie para elz?

Taylor Departamento de Matem aticas Sucesi on Propiedades Tma. Taylor Ejemplos Unicidad de las series de potencias Si dos series de potencias en z z o: X1 k=0 a k(z z o) k y X1 k=0 b (z z o) k tienen en mismo radio de convergencia y coinciden en los valores l mite en todo punto del interior del c rculo de convergencia, entonces a k = b k.

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