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19.4. (a) Show that, when z is represented by polar coordinates, the C-R conditions on a function f(z) are Ne r d0 1 ƏV ƏV -r Ər where U and V are the real and imaginary parts of f(z) written in polar coordinates.

19.4. (a) Show that, when z is represented by polar coordinates, the C-R conditions on a function f(z) are Ne r d0 1 ƏV ƏV -r Ər where U and V are the real and imaginary parts of f(z) written in polar coordinates.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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My question is about Complex Derivative and Integral. I showed in the upload photo. Thank you very much.

19.4. (a) Show that, when z is represented by polar coordinates, the C-R conditions on a function f(z) are 1 Əv ƏV = -r. dr r d0 dr ' where U and V are the real and imaginary parts of f(z) written in polar coordinates.
Transcribed Image Text:19.4. (a) Show that, when z is represented by polar coordinates, the C-R conditions on a function f(z) are 1 Əv ƏV = -r. dr r d0 dr ' where U and V are the real and imaginary parts of f(z) written in polar coordinates.
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