(1) Show that the function f(2)=z|z], where z=z+jy, is not analytic anywhere in the complex plane.
(1) Show that the function f(2)=z|z], where z=z+jy, is not analytic anywhere in the complex plane.
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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Do only 1st question.....
![(1) Show that the function f(2)=2[z], where z=x+3y, is not analytic anywhere in the
complex plane.
(2) It is given that d=42-3 and f(z=1+3)=-33. Find f(z) from the above information
and the harmonic functions u(x, y) and v(x, y) such that f(2)= u(x, y) + (x,y).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa52e5c13-ae63-4c89-8471-0652135b05c7%2Faaea8c60-8113-43af-90d8-b3e12f49a6b0%2Fhqcey2o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(1) Show that the function f(2)=2[z], where z=x+3y, is not analytic anywhere in the
complex plane.
(2) It is given that d=42-3 and f(z=1+3)=-33. Find f(z) from the above information
and the harmonic functions u(x, y) and v(x, y) such that f(2)= u(x, y) + (x,y).
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