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a. State Cauchy-Riemann equations. Show that f(z) x² + iy is not analytic anywhere but the Cauchy-Riemann equations are satisfied at the origin. e0z b. Show that . dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 -

a. State Cauchy-Riemann equations. Show that f(z) x² + iy is not analytic anywhere but the Cauchy-Riemann equations are satisfied at the origin. e0z b. Show that . dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 -

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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4. a. State Cauchy-Riemann equations. Show that f (z) x² + iy is not analytic anywhere 6 but the Cauchy-Riemann equations are satisfied at the origin. 0z dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 b. Show that o.
Transcribed Image Text:4. a. State Cauchy-Riemann equations. Show that f (z) x² + iy is not analytic anywhere 6 but the Cauchy-Riemann equations are satisfied at the origin. 0z dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 b. Show that o.
4. a. State Cauchy-Riemann equations. Show that f (z) x² + iy is not analytic anywhere 6 but the Cauchy-Riemann equations are satisfied at the origin. 0z dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 b. Show that o.
Transcribed Image Text:4. a. State Cauchy-Riemann equations. Show that f (z) x² + iy is not analytic anywhere 6 but the Cauchy-Riemann equations are satisfied at the origin. 0z dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 b. Show that o.
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