List questions from complex-analysis

Published on 07 Apr 2026 - 19:10

88

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What if Euler's formula was defined differently?

Published on 13 Apr 2026 - 10:43

913

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Complex Integrals to find infinite integral on the real line.

Published on 12 Apr 2026 - 1:13

125

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Why are these two functions different for negative numbers?

Published on 25 Mar 2026 - 2:47

36

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Convergence of $\lim_{R \rightarrow \infty} \int_\Gamma \frac{e^\lambda}{|\lambda|}d\lambda$ on $\Gamma=Re^{i\theta}$

Published on 14 Apr 2026 - 10:13

41

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How is the formula for expressing a cyclotomic polynomial derived.

Published on 13 Apr 2026 - 19:41

112

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Solving $z^2 =\sqrt{\sqrt{i}}$

Published on 14 Apr 2026 - 19:31

80

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An exercise of complex series

Published on 04 May 2026 - 11:06

91

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Is it true that $|f(z)|\leq e^{|y|}$ for all $z=x+iy$?

Published on 12 Apr 2026 - 2:56

33

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Cauchy theorem for different disks

Published on 10 Apr 2026 - 20:40

106

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Reference for Stieltjes transform of measure (Sokhotski-Pemelj)

Published on 12 Apr 2026 - 13:27

343

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Checking directly the integral of $1/(z-a)$ around a disc centered at the origin is $2\pi i$

Published on 14 Apr 2026 - 8:06

211

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Proving the formula of a function much similar to the Dirichlet kernel.

Published on 14 Apr 2026 - 23:44

311

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To prove extension of a holomorphic function to an entire function

Published on 14 Apr 2026 - 11:59

61

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About $n$-th differentiability

Published on 12 Apr 2026 - 0:41

List Question

Integration of a divergent integral using the Cauchy Principal Value

What if Euler's formula was defined differently?

Complex Integrals to find infinite integral on the real line.

Why are these two functions different for negative numbers?

Convergence of $\lim_{R \rightarrow \infty} \int_\Gamma \frac{e^\lambda}{|\lambda|}d\lambda$ on $\Gamma=Re^{i\theta}$

How is the formula for expressing a cyclotomic polynomial derived.

Solving $z^2 =\sqrt{\sqrt{i}}$

An exercise of complex series

Is it true that $|f(z)|\leq e^{|y|}$ for all $z=x+iy$?

Cauchy theorem for different disks

Reference for Stieltjes transform of measure (Sokhotski-Pemelj)

Checking directly the integral of $1/(z-a)$ around a disc centered at the origin is $2\pi i$

Proving the formula of a function much similar to the Dirichlet kernel.

To prove extension of a holomorphic function to an entire function

About $n$-th differentiability

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