Solved by Expert Tutors
Solved by Expert Tutors
Question

Complex Analysis. How does this equation satisfy the Cauchy Riemann equation at the origin. When I take the partial derivative of u = sqrt(xy) in terms of x, I get y/2(sqrt(xy)) which is undefined at the z = 0? Then how does it satisfy the Cauchy Riemann equation. Is my partial derivative of u in terms of x wrong?

Exercise II.6.2. Prove that the function f (z) = vry is not differentiable
at the origin, even though it satisfies the Cauchy-Riemann equations there.

o. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing eliacinia pulvi

a. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lacin

m ipsum dolor sit amet, consectetur ad nec facilisis. Pellentesque dapibus effici amet, consectetur adipiscing elit. Nam lacinia pulvinar itu consectetur adipiscing elit. Nam lacinia pulvinar onec

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents