List questions from holomorphic-functions

Published on 24 Mar 2026 - 22:08

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If $a(\Re f(z))^2+b(\Im f(z))^2=1$ $\forall z\in D$ for some $a,b > 0$ and holomorphic$ f$, then $f$ is constant.

Published on 25 Feb 2019 - 6:13

42

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Complex Analysis Problem regarding holomorphic funtions

Published on 25 Feb 2019 - 10:50

21

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Maximum co-dimension of a submanifold given by finitely many holomorphic functions

Published on 25 Mar 2026 - 1:31

366

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real analytic inverse function theorem

Published on 25 Mar 2026 - 7:49

94

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Approximation of $\zeta$(s) at $s=1$

Published on 28 Feb 2019 - 11:05

58

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Checking where $\frac{1}{z^5-1}$ is differentiable

Published on 28 Feb 2019 - 22:06

395

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Find the largest subset of $\mathbb{C}$ where $g(z)$ is holomorphic

Published on 05 Mar 2019 - 16:30

331

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Application of Casorati Weierstrass

Published on 25 Mar 2026 - 12:53

673

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On the proof of Goursat's Lemma

Published on 07 Mar 2019 - 13:29

623

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Holomorphic function constant on the boundary

Published on 08 Mar 2019 - 15:49

218

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How does the fact that every integral around a toy contour vanishes imply that the function is holomorphic?

Published on 25 Mar 2026 - 17:40

2.5k

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is the real part of a holomorphic function holomorphic?

Published on 25 Mar 2026 - 17:19

35

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Can an holomorphic function have a convergent sequence of points in its domain with only real values?

Published on 12 Mar 2019 - 10:55

728

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Principal Part of Laurent Series Converges in Punctured Disc

Published on 25 Mar 2026 - 16:03

List Question

Branch points on Riemann surfaces

If $a(\Re f(z))^2+b(\Im f(z))^2=1$ $\forall z\in D$ for some $a,b > 0$ and holomorphic$ f$, then $f$ is constant.

Complex Analysis Problem regarding holomorphic funtions

Maximum co-dimension of a submanifold given by finitely many holomorphic functions

real analytic inverse function theorem

Approximation of $\zeta$(s) at $s=1$

Checking where $\frac{1}{z^5-1}$ is differentiable

Find the largest subset of $\mathbb{C}$ where $g(z)$ is holomorphic

Application of Casorati Weierstrass

On the proof of Goursat's Lemma

Holomorphic function constant on the boundary

How does the fact that every integral around a toy contour vanishes imply that the function is holomorphic?

is the real part of a holomorphic function holomorphic?

Can an holomorphic function have a convergent sequence of points in its domain with only real values?

Principal Part of Laurent Series Converges in Punctured Disc

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