List questions from complex-analysis

Published on 30 Jan 2018 - 5:53

1.2k

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Prove $f$ is a polynomial if the $n$th derivative vanishes

Published on 09 Apr 2026 - 0:07

340

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How do you perform the contour integration of a constant

Published on 09 Apr 2026 - 9:39

42

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How is this intersection of sets open?

Published on 27 Mar 2026 - 18:35

131

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Brouwer fixed point theorem problem

Published on 27 Mar 2026 - 18:26

57

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Complex sequence converging to $i$

Published on 09 Apr 2026 - 20:14

60

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If a $f\in\mathbb{C}[[t]]$ is integral over $\mathbb{C}[t]$, convergent for $|t| < r$, then does it extend to a continuous function on $|t|\le r$?

Published on 25 Mar 2026 - 13:56

174

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Laurent expansion and singularities of $\frac{1-\cos(z)}{e^{2iz}-1}$

Published on 09 Apr 2026 - 0:33

77

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Topology of branched covers of Riemann surfaces

Published on 10 Apr 2026 - 10:26

38

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Rate of convergence of the series for complex function

Published on 09 Apr 2026 - 2:03

33

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$\int_0^{\infty} e^{-(1-i \xi) y^2} dy$ using complex analytic continuation method

Published on 31 Jan 2018 - 4:10

3.3k

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Does $\lim_{z \to 0} \frac {Re(z^2)}{|z|^2}$ exists???

Published on 25 Mar 2026 - 22:04

1k

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If complex function is differentiable and $f'(z)=0$ then f is a constant(Proof)

Published on 11 Apr 2026 - 3:27

122

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open set in a complex manifold

Published on 10 Apr 2026 - 17:23

245

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Mean value theorem on open interval

Published on 10 Apr 2026 - 17:13

List Question

Find (describe) the range of the complex function:

Prove $f$ is a polynomial if the $n$th derivative vanishes

How do you perform the contour integration of a constant

How is this intersection of sets open?

Brouwer fixed point theorem problem

Complex sequence converging to $i$

If a $f\in\mathbb{C}[[t]]$ is integral over $\mathbb{C}[t]$, convergent for $|t| < r$, then does it extend to a continuous function on $|t|\le r$?

Laurent expansion and singularities of $\frac{1-\cos(z)}{e^{2iz}-1}$

Topology of branched covers of Riemann surfaces

Rate of convergence of the series for complex function

$\int_0^{\infty} e^{-(1-i \xi) y^2} dy$ using complex analytic continuation method

Does $\lim_{z \to 0} \frac {Re(z^2)}{|z|^2}$ exists???

If complex function is differentiable and $f'(z)=0$ then f is a constant(Proof)

open set in a complex manifold

Mean value theorem on open interval

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