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#1. Find the Maclaurin series for Z-3 f(2)= z²+z-20

#1. Find the Maclaurin series for Z-3 f(2)= z²+z-20

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 the Maclaurin series for Z-3 f(2)= z²+z-20 #2. Find the Laurent series for function f(z) =. in the regions (a) 0</2/<3. (61 3</2100 (c) 04/2-3/<1. #3. let fiz) be analytic in a domain D and het f'(zo) \0 for Zo ED. Show that if C is a sufficiently small circle Centered at to, then 2πi f'(Zol #4. Find the Taylor series for the function 2-3 fiz) = at the point 20 = 3. 2²47-20 ds Pc f(s) - fize) #5. Prove that the function of defined by when z to fiz) = { (e²-1-2)/2² is entive. YN when. Z (Z-3i) 2=0
Transcribed Image Text:#. Find the Maclaurin series for Z-3 f(2)= z²+z-20 #2. Find the Laurent series for function f(z) =. in the regions (a) 0</2/<3. (61 3</2100 (c) 04/2-3/<1. #3. let fiz) be analytic in a domain D and het f'(zo) \0 for Zo ED. Show that if C is a sufficiently small circle Centered at to, then 2πi f'(Zol #4. Find the Taylor series for the function 2-3 fiz) = at the point 20 = 3. 2²47-20 ds Pc f(s) - fize) #5. Prove that the function of defined by when z to fiz) = { (e²-1-2)/2² is entive. YN when. Z (Z-3i) 2=0
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