19.3. (a) Using the chain rule, find ðf/ðz* and df/dz in terms of partial derivatives with respect to x and y. (b) Evaluate d f/əz* and df/ðz assuming that the C-R conditions hold.
19.3. (a) Using the chain rule, find ðf/ðz* and df/dz in terms of partial derivatives with respect to x and y. (b) Evaluate d f/əz* and df/ðz assuming that the C-R conditions hold.
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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hi
My question is about Complex Derivative.
I showed in the upload photo.
z is a
f(z)=u(x,y)+i.v(x,y);
In section a, we want to obtain the derivative of the function f with respect to z and z * in the Cartesian
In section b, I want to obtain the derivative of the function f with respect to z and z * in the polar coordinate system.
.
In one of the photos, I put a pattern to solve the question.
Thank you very much.
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