List questions from complex-analysis

Published on 10 Apr 2026 - 19:31

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Square integrable functions and integral convergence

Published on 12 Apr 2026 - 13:47

385

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Prove that an entire function has at least one complex zero

Published on 13 Apr 2026 - 0:30

245

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Basic question about the zeros of Riemann Zeta Function

Published on 08 Apr 2026 - 17:03

309

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Show that $z=0$ is a pole for $f(z)$ and find the order of the pole

Published on 14 Apr 2026 - 4:12

53

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Compute derivative of $\frac{f(z)}{f'(z)}$ at a root of $f(z)$.

Published on 13 Apr 2026 - 20:20

68

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Calculate integral similar to modified Bessel function: $\int_1^\infty \frac{\textrm{e}^{-\textrm{i} k x}}{\sqrt{(x-\textrm{i} y)^2 -1}} \textrm{d} x$

Published on 15 Apr 2026 - 22:35

92

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Why is $f(z-ia)= f(z+ia)$

Published on 15 Apr 2026 - 17:31

1.2k

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Is real part of a complex differentiable function real differentiable?

Published on 26 Apr 2026 - 1:48

879

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Limit of error function in complex argument

Published on 10 Apr 2026 - 8:21

130

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solutions to $cz^n=e^z$ in $\{z\in\mathbb{C}:\Re(z)<1\}$

Published on 24 Mar 2026 - 20:32

840

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Multiple annuli of laurent series expansion

Published on 11 Apr 2026 - 0:47

39

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Showing $f$ holomorph $\Rightarrow$ $\nabla^2(|f|^2)\ge0$

Published on 14 Apr 2026 - 6:07

522

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A function which satisfies Laplace's Equation but is not Harmonic

Published on 14 Apr 2026 - 13:22

36

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$\gamma_j(t)=(-1)^j+\frac{1}{2}\exp(it)$ for $j=1,2$ $\int_{\gamma_1}f(z) \mathrm{d}z + \int_{\gamma_2}f(z) \mathrm{d}z$ on $[0,2\pi]$

Published on 16 Apr 2026 - 15:17

List Question

Complex Fourier Series Coefficients

Square integrable functions and integral convergence

Prove that an entire function has at least one complex zero

Basic question about the zeros of Riemann Zeta Function

Show that $z=0$ is a pole for $f(z)$ and find the order of the pole

Compute derivative of $\frac{f(z)}{f'(z)}$ at a root of $f(z)$.

Calculate integral similar to modified Bessel function: $\int_1^\infty \frac{\textrm{e}^{-\textrm{i} k x}}{\sqrt{(x-\textrm{i} y)^2 -1}} \textrm{d} x$

Why is $f(z-ia)= f(z+ia)$

Is real part of a complex differentiable function real differentiable?

Limit of error function in complex argument

solutions to $cz^n=e^z$ in $\{z\in\mathbb{C}:\Re(z)<1\}$

Multiple annuli of laurent series expansion

Showing $f$ holomorph $\Rightarrow$ $\nabla^2(|f|^2)\ge0$

A function which satisfies Laplace's Equation but is not Harmonic

$\gamma_j(t)=(-1)^j+\frac{1}{2}\exp(it)$ for $j=1,2$ $\int_{\gamma_1}f(z) \mathrm{d}z + \int_{\gamma_2}f(z) \mathrm{d}z$ on $[0,2\pi]$

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