Question

Show for some $f$ differentiable at $x_0\in A\subseteq\mathbb{R}$ that $\overline{f}$ is differentiable at $x_0$.

score 62 · Answer 1 · 2026-04-16 14:58:26

62

Views

Show for some $f$ differentiable at $x_0\in A\subseteq\mathbb{R}$ that $\overline{f}$ is differentiable at $x_0$.

Published on 16 Apr 2026 - 14:58

score 732 · Answer 2 · 2026-04-16 13:13:01

732

Views

Find the radius of convergence of the power series expanded about the indicated point

Published on 16 Apr 2026 - 13:13

score 208 · Answer 3 · 2026-03-25 09:25:20

208

Views

How to determine all points for which a function f(z) is holomorphic?

Published on 25 Mar 2026 - 9:25

score 1.3k · Answer 4 · 2026-04-13 07:23:08

1.3k

Views

Fourier Transformation of $e^{-|t|}\cos(2t)$

Published on 13 Apr 2026 - 7:23

score 492 · Answer 5 · 2026-04-11 17:00:15

492

Views

Vitali's Convergence Theorem to prove normal family

Published on 11 Apr 2026 - 17:00

score 93 · Answer 6 · 2026-04-17 14:46:59

93

Views

Show that $\int_{0}^{\infty}\frac{x^{m-1}}{1+x^{n}} dx= \frac{\pi}{n}(sin(\frac{m}{n}\pi))^{-1}$

Published on 17 Apr 2026 - 14:46

score 200 · Answer 7 · 2026-04-05 13:45:32

200

Views

Currents in complex geometry

Published on 05 Apr 2026 - 13:45

score 1.2k · Answer 8 · 2026-03-25 01:16:43

1.2k

Views

Mobius transformation, and showing it maps the unit disk D[0,1] to itself bijectively

Published on 25 Mar 2026 - 1:16

score 127 · Answer 9 · 2026-04-15 23:46:28

127

Views

Radius of convergence for the Taylor series of $\frac{10z}{z^2+z-6}$ about the point $z=i$?

Published on 15 Apr 2026 - 23:46

score 59 · Answer 10 · 2026-04-15 04:57:21

59

Views

Value of $x=z+z^2+z^4$ where $z=e^\frac{2πi}{7}$.

Published on 15 Apr 2026 - 4:57

score 67 · Answer 11 · 2026-04-11 02:04:50

67

Views

Proof similarity of complex power series

Published on 11 Apr 2026 - 2:04

score 753 · Answer 12 · 2026-04-15 00:27:20

753

Views

Show that if $f$ is entire and $(\forall z \in \mathbb{C})$ $|f(z^2)| \leq |f(z)|$, then $f$ is constant

Published on 15 Apr 2026 - 0:27

score 30 · Answer 13 · 2026-04-14 03:30:39

30

Views

How to proceed computing $L^1(dA)$ integrals like the following

Published on 14 Apr 2026 - 3:30

score 632 · Answer 14 · 2026-04-16 06:10:18

632

Views

Calculate: $\arg(i)+\arg(-1)$

Published on 16 Apr 2026 - 6:10

score 1k · Answer 15 · 2026-04-17 04:39:29

Find a function $f(z)$ such that its real part is $u(x, y) = e^y\cos(x)$ and it's imaginary part is $v(x, y) = e^y\sin(x)$

List Question

Show for some $f$ differentiable at $x_0\in A\subseteq\mathbb{R}$ that $\overline{f}$ is differentiable at $x_0$.

Find the radius of convergence of the power series expanded about the indicated point

How to determine all points for which a function f(z) is holomorphic?

Fourier Transformation of $e^{-|t|}\cos(2t)$

Vitali's Convergence Theorem to prove normal family

Show that $\int_{0}^{\infty}\frac{x^{m-1}}{1+x^{n}} dx= \frac{\pi}{n}(sin(\frac{m}{n}\pi))^{-1}$

Currents in complex geometry

Mobius transformation, and showing it maps the unit disk D[0,1] to itself bijectively

Radius of convergence for the Taylor series of $\frac{10z}{z^2+z-6}$ about the point $z=i$?

Value of $x=z+z^2+z^4$ where $z=e^\frac{2πi}{7}$.

Proof similarity of complex power series

Show that if $f$ is entire and $(\forall z \in \mathbb{C})$ $|f(z^2)| \leq |f(z)|$, then $f$ is constant

How to proceed computing $L^1(dA)$ integrals like the following

Calculate: $\arg(i)+\arg(-1)$

Find a function $f(z)$ such that its real part is $u(x, y) = e^y\cos(x)$ and it's imaginary part is $v(x, y) = e^y\sin(x)$

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