List questions from complex-analysis

Published on 10 Apr 2026 - 14:59

50

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A complex function identity

Published on 11 Apr 2026 - 5:13

79

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Integrating over a path that passes through a branch cut

Published on 06 Feb 2018 - 21:37

1.3k

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Sequence of holomorphic functions converges to a holomorphic function (more details in post)

Published on 26 Mar 2026 - 15:58

1.6k

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How to prove $f(z)=|z|$ is continuous?

Published on 09 Apr 2026 - 20:14

120

Views

A proof of the Open Mapping Theorem

Published on 09 Apr 2026 - 4:12

55

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I would like to find the center of this group

Published on 07 Feb 2018 - 5:20

116

Views

Analytic Continuation on the Unit Disk

Published on 09 Apr 2026 - 3:20

155

Views

Factoring $(1+i)z^2 - 3z +2 - i$

Published on 24 Mar 2026 - 22:09

60

Views

Stable set of infinity with complex polynomials

Published on 10 Apr 2026 - 19:20

144

Views

Showing $\int_0^\infty t^{z-1} e^{-t}\cos(t)dt=\Gamma(z) 2^{\large \frac{-z}2}\cos\left(\frac{\pi z}{4}\right)$

Published on 25 Mar 2026 - 7:45

54

Views

Positivity of Fourier transform for extension of $1 - c x^2$?

Published on 25 Mar 2026 - 6:24

105

Views

Closed contour integral from Fourier Transform?

Published on 10 Apr 2026 - 0:20

348

Views

What is wrong in evaluating $\int_{0}^{2\pi} e^{\cos x} \cos (\sin x)\:dx$

Published on 26 Mar 2026 - 7:33

295

Views

Derivative rules and trig identities for complex variables

Published on 10 Apr 2026 - 16:59

List Question

Integral of Gamma Functions

A complex function identity

Integrating over a path that passes through a branch cut

Sequence of holomorphic functions converges to a holomorphic function (more details in post)

How to prove $f(z)=|z|$ is continuous?

A proof of the Open Mapping Theorem

I would like to find the center of this group

Analytic Continuation on the Unit Disk

Factoring $(1+i)z^2 - 3z +2 - i$

Stable set of infinity with complex polynomials

Showing $\int_0^\infty t^{z-1} e^{-t}\cos(t)dt=\Gamma(z) 2^{\large \frac{-z}2}\cos\left(\frac{\pi z}{4}\right)$

Positivity of Fourier transform for extension of $1 - c x^2$?

Closed contour integral from Fourier Transform?

What is wrong in evaluating $\int_{0}^{2\pi} e^{\cos x} \cos (\sin x)\:dx$

Derivative rules and trig identities for complex variables

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