(z] > 0, 0 < arg z <2π); al 2. Show that 71/4 z=-1 z+1 Log z = 1+i √2 л+2i (a) Res (b) Res = 8 1-i (c) Res = z=i (z² + 1)² 8√√2 z=i (z² + 1)² z1/2 (z > 0,0
(z] > 0, 0 < arg z <2π); al 2. Show that 71/4 z=-1 z+1 Log z = 1+i √2 л+2i (a) Res (b) Res = 8 1-i (c) Res = z=i (z² + 1)² 8√√2 z=i (z² + 1)² z1/2 (z > 0,0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![(z] > 0, 0 < arg z <2π); al
2. Show that
71/4
z=-1 z+1
Log z
=
1+i
√2
л+2i
(a) Res
(b) Res
=
8
1-i
(c) Res
=
z=i (z² + 1)²
8√√2
z=i (z² + 1)²
z1/2
(z > 0,0<arg z < 2л).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6389447-1237-4af0-b5c6-eb1260425b55%2F6d08d892-97ab-4f76-aceb-30dd6df1e5db%2Fx6pu3b9_processed.png&w=3840&q=75)
Transcribed Image Text:(z] > 0, 0 < arg z <2π); al
2. Show that
71/4
z=-1 z+1
Log z
=
1+i
√2
л+2i
(a) Res
(b) Res
=
8
1-i
(c) Res
=
z=i (z² + 1)²
8√√2
z=i (z² + 1)²
z1/2
(z > 0,0<arg z < 2л).
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