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7.10. In polar coordinates z = r cos 0, y = r sin 0, the function f(z) = u(r, 0)+iv(r, 0). Show that the Cauchy-Riemann conditions can be written as (7.7) and ди Ər 1 əv T 00¹ f'(z) = 1 Ju T 00 e-i (ur +ivr). Əv Ər' (7.8)

7.10. In polar coordinates z = r cos 0, y = r sin 0, the function f(z) = u(r, 0)+iv(r, 0). Show that the Cauchy-Riemann conditions can be written as (7.7) and ди Ər 1 əv T 00¹ f'(z) = 1 Ju T 00 e-i (ur +ivr). Əv Ər' (7.8)

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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I 7.10. In polar coordinates = r cos 0, y = r sin 0, the function f(z) = u(r, 0)+iv (r, 0). Show that the Cauchy-Riemann conditions can be written as (7.7) and ди Ər 10v T 00¹ f'(z) = 1 Ju T 00 e-i (ur + ivr). Əv Ər' (7.8)
Transcribed Image Text:I 7.10. In polar coordinates = r cos 0, y = r sin 0, the function f(z) = u(r, 0)+iv (r, 0). Show that the Cauchy-Riemann conditions can be written as (7.7) and ди Ər 10v T 00¹ f'(z) = 1 Ju T 00 e-i (ur + ivr). Əv Ər' (7.8)
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