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March 11th, 2014, 06:34 PM  #1 
Newbie Joined: Mar 2014 Posts: 8 Thanks: 0  Convergence test using taylor series
Let L(s,thetaj)=P(s)+Q(s)e^(theta1*s)+R(s)e^(theta2*s) be an analytic function. And Let s* be any one of the roots of L(s,thetaj) y and let p be a positive number such taht the only root of L(s,thetaj) contained inside the contour ss*=p is s*. How can I use the Taylor series in L(s, thetaj) and prove convergence  s  s *  = p ? 

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convergence, series, taylor, test 
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