-2z 20 = i 20 = 2 - i 22 20 = 0 21

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(c)
Each of the following is a holomorphic function in an appropriate open set. In
each case, find its complex power series expansion about the given point z0, and
determine the associated disc of convergence.
1
(a)
1+2z'
20 =0
22
(b)
4
20 = i
(0)
20 = 2- i
22
(d)
(1
20 = 0
Transcribed Image Text:(c) Each of the following is a holomorphic function in an appropriate open set. In each case, find its complex power series expansion about the given point z0, and determine the associated disc of convergence. 1 (a) 1+2z' 20 =0 22 (b) 4 20 = i (0) 20 = 2- i 22 (d) (1 20 = 0
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