(b) - (1) Verify that the function g: C+C given by 8(2) = 22+1 satisfies the Cauchy-Riemann equations. (ii) Determine whether the function h:C →C given by 1 (z- ) h(2) = (2 - 2) is differentiable.
(b) - (1) Verify that the function g: C+C given by 8(2) = 22+1 satisfies the Cauchy-Riemann equations. (ii) Determine whether the function h:C →C given by 1 (z- ) h(2) = (2 - 2) is differentiable.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![(b) -
(1)
Verify that the function g: C+C given by
8(2) = 22+1
satisfies the Cauchy-Riemann equations.
(ii)
Determine whether the function h:C →C given by
1
h(2) = (2 - 2)
is differentiable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa72dfa5-807e-48e3-a11b-f4c2733193b5%2F6bb0bebd-eef5-475e-878d-77381d63e7e7%2Faxrieu_processed.png&w=3840&q=75)
Transcribed Image Text:(b) -
(1)
Verify that the function g: C+C given by
8(2) = 22+1
satisfies the Cauchy-Riemann equations.
(ii)
Determine whether the function h:C →C given by
1
h(2) = (2 - 2)
is differentiable.
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