2- ) Assume that x, y E R and z = x + iy E C and answer the followings. z* is complex conjugate of z. Calculate the countour integrals for a given countour figure 1. 6, z dz and P. z* dz a- Įm z b-. m . dz dz and 2i dz c- Pc z2 Re z -2i

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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Assume that ?,?∈? and ?=?+??∈? and answer the followings. ?∗ is complex conjugate of z.

2- ) Assume that x, y ER and z = x + iy E C and answer the followings. z* is complex conjugate
of z.
Calculate the countour integrals for a given countour figure 1.
a- 0, z dz and
C
P. z* dz
dz
z ut
b- f.
dz
and
2i
C z*
dz
C-
Re z
-2i
ఆ
ఆ ఆ
Transcribed Image Text:2- ) Assume that x, y ER and z = x + iy E C and answer the followings. z* is complex conjugate of z. Calculate the countour integrals for a given countour figure 1. a- 0, z dz and C P. z* dz dz z ut b- f. dz and 2i C z* dz C- Re z -2i ఆ ఆ ఆ
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