List questions from complex-analysis

Published on 16 Apr 2026 - 22:47

57

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Proving Uniqueness of Momentum Operator

Published on 09 Apr 2026 - 13:34

43

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For a holomorphic 1-form $f dz= (u+iv) dz$, multiplicity of $f$=winding number of loop $u,-v$

Published on 15 Apr 2026 - 16:38

934

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derivative of the Real and imaginary parts of a complex function

Published on 13 Apr 2026 - 23:47

34

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Scaling a function by a complex number

Published on 11 Apr 2026 - 21:46

65

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Polar expansions and Shimrod triples

Published on 14 Apr 2026 - 0:03

206

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Understanding the proof of a continuity principle for potentials

Published on 09 Apr 2026 - 10:07

45

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How can a complex plot be projected onto a real plot?

Published on 12 Apr 2026 - 11:04

242

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Compute $\int_0^{+\infty}\frac{x^{\alpha}}{1+x^n}dx$, $0<1+\alpha<n$

Published on 16 Apr 2026 - 12:24

111

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A surprising result from Green's theorem

Published on 25 Apr 2026 - 16:40

549

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If a power series does not converges at a point on its radius, then it cannot be analytically continued at that point.

Published on 16 Apr 2026 - 4:23

319

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Consequences of a fixed point of a bounded, complex analytic function

Published on 28 Apr 2026 - 13:10

546

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Nowhere zero holomorphic function with no logarithm

Published on 15 Apr 2026 - 7:20

760

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Prove that $\int\limits_{-\infty}^{\infty} \frac{e^{-x}}{1+e^{-2\pi x}}\,dx=\frac1{2\sin\left(\frac{1}{2}\right)}$

Published on 16 Apr 2026 - 3:41

222

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Solve this contour integral with three roots, one outside

Published on 15 Apr 2026 - 11:25

List Question

Example of logarithm of complex exponential

Proving Uniqueness of Momentum Operator

For a holomorphic 1-form $f dz= (u+iv) dz$, multiplicity of $f$=winding number of loop $u,-v$

derivative of the Real and imaginary parts of a complex function

Scaling a function by a complex number

Polar expansions and Shimrod triples

Understanding the proof of a continuity principle for potentials

How can a complex plot be projected onto a real plot?

Compute $\int_0^{+\infty}\frac{x^{\alpha}}{1+x^n}dx$, $0<1+\alpha<n$

A surprising result from Green's theorem

If a power series does not converges at a point on its radius, then it cannot be analytically continued at that point.

Consequences of a fixed point of a bounded, complex analytic function

Nowhere zero holomorphic function with no logarithm

Prove that $\int\limits_{-\infty}^{\infty} \frac{e^{-x}}{1+e^{-2\pi x}}\,dx=\frac1{2\sin\left(\frac{1}{2}\right)}$

Solve this contour integral with three roots, one outside

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