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Find Laurent series for the function (a) f(2) = ; in each of the following domains (i) 0< |z| < 1; (ii) 1< |z]; (iii) 0 < |z + 1| < 1; (iv) 1< |z+ 1|.

Find Laurent series for the function (a) f(2) = ; in each of the following domains (i) 0< |z| < 1; (ii) 1< |z]; (iii) 0 < |z + 1| < 1; (iv) 1< |z+ 1|.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find Laurent series for the function (a) f(2) = in each of the following domains (i) 0< |z| < 1; (ii) 1< |z|; 1 (iii) 0 < |z + 1| < 1; (iv) 1< |z+ 1|. (a) g(2) = Te+DE-2 on annulus domain (i) 1< |z| < 2; (ii) 0 < |z + 1| < 3; (iii) 0 < |z – 2| < 3; (iv) 2 < |z+ 1|. (b) g(z) = -21E- on annulus domain (i) 0 < |z – 2| < 1; (ii) 0 < |z – 1| < 1; item g(z) = 22-22+2 on annulus domain z-2 (i) 1< |z – 1|; (ii) 0< |z – 2|; (c) g(2) = 2² cos() in |z| > 0. (d) g(z) = 울그 for |z| > 1. Apply online for a Credit Card and live the best you. APPLY NOW IT CAN BE. *Ts&Cs apply. Auth FSP NCRCP15.
Transcribed Image Text:Find Laurent series for the function (a) f(2) = in each of the following domains (i) 0< |z| < 1; (ii) 1< |z|; 1 (iii) 0 < |z + 1| < 1; (iv) 1< |z+ 1|. (a) g(2) = Te+DE-2 on annulus domain (i) 1< |z| < 2; (ii) 0 < |z + 1| < 3; (iii) 0 < |z – 2| < 3; (iv) 2 < |z+ 1|. (b) g(z) = -21E- on annulus domain (i) 0 < |z – 2| < 1; (ii) 0 < |z – 1| < 1; item g(z) = 22-22+2 on annulus domain z-2 (i) 1< |z – 1|; (ii) 0< |z – 2|; (c) g(2) = 2² cos() in |z| > 0. (d) g(z) = 울그 for |z| > 1. Apply online for a Credit Card and live the best you. APPLY NOW IT CAN BE. *Ts&Cs apply. Auth FSP NCRCP15.
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