Question

The necessary condition for a function to be analytic.​

Answer 1

Answer:

If f(z) is analytic at a point z, then the derivative f (z) is continuous at z. If f(z) is analytic at a point z, then f(z) has continuous derivatives of all order at the point z. Equations (2, 3) are known as the Cauchy-Riemann equations. They are a necessary condition for f = u + iv to be analytic

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Answer 2

Answer:

If f(z) is analytic at a point z, then the derivative f (z) is continuous at z. If f(z) is analytic at a point z, then f(z) has continuous derivatives of all order at the point z. Equations (2, 3) are known as the Cauchy-Riemann equations. They are a necessary condition for f = u + iv to be analytic.