List questions from cauchy-riemann-equations | MathQa

Cauchy Riemann $e^{z^2}$.

Published on 12 Jan 2025 - 17:25

if $u$ is a harmonic function, then $u$ has a harmonic conjugate.

Published on 12 Jan 2025 - 21:28

Extending a Real Function $u$ to a Holomorphic Function: Must $f(\mathbb{R})= u(\mathbb{R})$?

Published on 12 Jan 2025 - 21:37

Find an expression for $f(z)$ using Cauchy-Riemann Equations:

Published on 12 Jan 2025 - 21:26

Let $z = x + iy$, then $f(x) = x^2 - y^2$ is this analytic?

Published on 12 Jan 2025 - 21:16

Two different forms of Cauchy-Riemann equation:

Published on 12 Jan 2025 - 21:17

Complex Differentiability of $f(x+iy)=\frac{(1+i)x^3-(1-i)y^3}{x^2+y^2}$

Published on 12 Jan 2025 - 21:31

The integer function $f(z) = u(x,y) + iv(x, y)$ is such that $u(x, y) = e^{−x}\sin(y -1) + y$. What's the value of $f'(i)$?

Published on 12 Jan 2025 - 21:40

Shortcut to find imaginary part of analytic function given real part, without standard form of Cauchy-Riemann equations?

Published on 12 Jan 2025 - 21:43

Holomorphic complex parameter integrals

Published on 12 Jan 2025 - 21:11