If the function f(z) is analytic in some domain D ,then its component functions of real variables need not be harmonic in D FO T نقطة واحدة d If f(z)=In( cos z )ē .Then In( cos z )7 = - tan z dz T O FO نقطة واحدة Vsin 2z dz If f(z) = evsin 2z . Then = ycot 2z. e sin 2z e T O F

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If the function f(z) is analytic in some domain D ,then its component functions of real
variables need not be harmonic in D
FO
TO
1
If f(z)=In( cos z )ē Then - In( cos z )ī = -!
tan z
dz
F
نقطة واحدة
eVsin 22
Vsin 2z
e
dz
If f(z) = ev
Then
Vcot 2z. e
Vsin 2z
->
11
Transcribed Image Text:* ZAIN IQ Iı. docs.google.com a If the function f(z) is analytic in some domain D ,then its component functions of real variables need not be harmonic in D FO TO 1 If f(z)=In( cos z )ē Then - In( cos z )ī = -! tan z dz F نقطة واحدة eVsin 22 Vsin 2z e dz If f(z) = ev Then Vcot 2z. e Vsin 2z -> 11
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