List questions from complex-analysis

Published on 13 Apr 2026 - 3:03

44

Views

Evaluating a path (contour) integral

Published on 10 Apr 2026 - 16:15

708

Views

Counting roots using contour integral and derivative

Published on 13 Apr 2026 - 7:36

107

Views

For $f$ analytic on $\mathbb{D}$, if $f(\mathbb{D}) \subset \{ z \in \mathbb{C} : \Re(z) < 0\}$ and $f(0) = -1$, prove an inequality of $|f(z)|$.

Published on 16 Apr 2026 - 5:48

102

Views

Problem with $\infty$. Why are limsup and liminf conditions fulfilled?

Published on 11 Apr 2026 - 22:17

218

Views

Is the Riemann zeta function surjective?

Published on 10 Apr 2026 - 4:26

81

Views

A quasi-analytic nowhere analytic function?

Published on 18 Apr 2026 - 13:01

125

Views

Harmonic majoration proof. Why does domain need to be relatively compact?

Published on 10 Apr 2026 - 6:07

80

Views

convergence criteria from real to complex domains?

Published on 14 Apr 2026 - 23:30

39

Views

Let f be whole such that $z_0$, $z_1$ $\in\mathbb{C}$ $\mathbb{R}$-independant, with $f(z+z_0)=f(z)=f(z+z_1)$ $\forall z\in\mathbb{C}$

Published on 15 Apr 2026 - 19:14

146

Views

Taylor Expansion $\log(\frac{1+z}{1-z})$

Published on 16 Apr 2026 - 2:35

365

Views

Taylor Expansion Of $\frac{1}{z}$ at $z=3$

Published on 15 Apr 2026 - 2:40

230

Views

Branch cut rotation of the logarithm function?

Published on 03 May 2026 - 16:29

49

Views

Prove that if $z=u$ is a solution of the equation $z^n=w$, then the other solutions have the form $u \rho ^j$ for $j=1,2,...,n-1$.

Published on 14 Apr 2026 - 5:23

69

Views

Proving that $f(z) =(2z-z̅ )z̅$ is differentiable at $z = 0$ using the definition of derivative.

Published on 24 Apr 2026 - 1:19

List Question

A possible application of Schwarz lemma

Evaluating a path (contour) integral

Counting roots using contour integral and derivative

For $f$ analytic on $\mathbb{D}$, if $f(\mathbb{D}) \subset \{ z \in \mathbb{C} : \Re(z) < 0\}$ and $f(0) = -1$, prove an inequality of $|f(z)|$.

Problem with $\infty$. Why are limsup and liminf conditions fulfilled?

Is the Riemann zeta function surjective?

A quasi-analytic nowhere analytic function?

Harmonic majoration proof. Why does domain need to be relatively compact?

convergence criteria from real to complex domains?

Let f be whole such that $z_0$, $z_1$ $\in\mathbb{C}$ $\mathbb{R}$-independant, with $f(z+z_0)=f(z)=f(z+z_1)$ $\forall z\in\mathbb{C}$

Taylor Expansion $\log(\frac{1+z}{1-z})$

Taylor Expansion Of $\frac{1}{z}$ at $z=3$

Branch cut rotation of the logarithm function?

Prove that if $z=u$ is a solution of the equation $z^n=w$, then the other solutions have the form $u \rho ^j$ for $j=1,2,...,n-1$.

Proving that $f(z) =(2z-z̅ )z̅$ is differentiable at $z = 0$ using the definition of derivative.

Trending Questions

Popular # Hahtags

Popular Questions