Let D= {z: e : 2#0,Z¢ #206 and f(2) = (2) cos (2) 3. The function f(E) is holomor phic on D- (a) True (B False 92. a double pole for f(e) is t = 21 %3D (a) Trve (B) False 0,3. 20 = -2i is a simple pole for() %3D (a) True (6) Falsc

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Only true false is enough.better if detailed
Let D= z=e:Zt0 ,Z# #2€4 and
f(2) = o(2)
3.
The function f(E) is holomo phic on D-
Toue
False
92
t = 2i
a double pole for f(e)
is
(a True
(B) False
03. 20=-2i
is
a simple pole for {()
(@) True
(6) False
84, 20 = 0 is an essential slngularity for fe)
(^) True
(e) False
f(=) dz
@ True
O False
6. Resp (20) = 3i |16
(a) Tove
(6) False
Transcribed Image Text:Let D= z=e:Zt0 ,Z# #2€4 and f(2) = o(2) 3. The function f(E) is holomo phic on D- Toue False 92 t = 2i a double pole for f(e) is (a True (B) False 03. 20=-2i is a simple pole for {() (@) True (6) False 84, 20 = 0 is an essential slngularity for fe) (^) True (e) False f(=) dz @ True O False 6. Resp (20) = 3i |16 (a) Tove (6) False
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