List questions from complex-analysis

Published on 29 Jan 2018 - 5:37

40

Views

plot the set $M:= \{z \in \mathbb{C}; Im \left( \frac{z+i}{z-2} \right) = 0\}$

Published on 25 Mar 2026 - 17:40

77

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Impossibility of conformally mapping graph of $x\sin(1/x)$ to $\mathbb{R}$

Published on 08 Apr 2026 - 22:43

170

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Reference for von Koch's 1901 theorem (RH characterization)

Published on 09 Apr 2026 - 1:55

61

Views

Prove $i$ is a point of accumulation

Published on 29 Jan 2018 - 17:36

72

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Complex analysis,complex integration.

Published on 09 Apr 2026 - 14:11

53

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Prove/Disprove$ \langle f,f\rangle = 2\int_0^{0.5} \left | f(t) \right |^2 \, dt -\int_{0.5}^1 \left | f(t) \right |^2 \, dt = 0 \Rightarrow f = 0$

Published on 25 Mar 2026 - 17:44

73

Views

Prove the following statements without using induction

Published on 10 Apr 2026 - 21:28

41

Views

Does the Möbius map $T(z) = \frac{z - i} {iz + 3}$ maps circle to circle and line to line?

Published on 29 Jan 2018 - 21:15

68

Views

Searchingthe polar form of $z = 2+i(1+\sqrt{3})$

Published on 25 Mar 2026 - 20:36

83

Views

On the linearly independence of infinite exponentials

Published on 25 Mar 2026 - 6:12

139

Views

Proof of asymptotics of a recursion or functional equation

Published on 10 Apr 2026 - 19:50

123

Views

Product of holomorphically convex spaces is again holomorphically convex

Published on 09 Apr 2026 - 1:48

74

Views

Complex Analysis of the Log Function

Published on 30 Jan 2018 - 3:22

61

Views

Complex integration and bilinear operators

Published on 09 Apr 2026 - 1:08

List Question

Is this a counterexample to what I am trying to prove?

plot the set $M:= \{z \in \mathbb{C}; Im \left( \frac{z+i}{z-2} \right) = 0\}$

Impossibility of conformally mapping graph of $x\sin(1/x)$ to $\mathbb{R}$

Reference for von Koch's 1901 theorem (RH characterization)

Prove $i$ is a point of accumulation

Complex analysis,complex integration.

Prove/Disprove$ \langle f,f\rangle = 2\int_0^{0.5} \left | f(t) \right |^2 \, dt -\int_{0.5}^1 \left | f(t) \right |^2 \, dt = 0 \Rightarrow f = 0$

Prove the following statements without using induction

Does the Möbius map $T(z) = \frac{z - i} {iz + 3}$ maps circle to circle and line to line?

Searchingthe polar form of $z = 2+i(1+\sqrt{3})$

On the linearly independence of infinite exponentials

Proof of asymptotics of a recursion or functional equation

Product of holomorphically convex spaces is again holomorphically convex

Complex Analysis of the Log Function

Complex integration and bilinear operators

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