List questions from complex-analysis

Published on 15 Apr 2026 - 13:44

181

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Determine all entire functions which are injective

Published on 15 Apr 2026 - 13:56

494

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Using Contour Integration to Prove $\lim_{\epsilon\to 0^{+}}\int_{-1}^{1}x^{\epsilon-1}\,\mathrm{d}x=-\pi\mathrm{i}$

Published on 25 Mar 2026 - 6:12

75

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Solving $z^3+3i\overline{z}=0$

Published on 14 Apr 2026 - 1:05

1.7k

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Sheaf Theory for Complex Analysis

Published on 09 Apr 2026 - 1:15

131

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Proving entireness of a piecewise function

Published on 16 Apr 2026 - 2:51

280

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Gaussian integral over a wedge of the complex plane

Published on 25 Mar 2026 - 1:16

70

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Prove $|iXe^{itX}|\le |X|$

Published on 01 Apr 2026 - 6:42

963

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If a & b are primtive nth , mth root of unity then ab is kth root of unity

Published on 12 Apr 2026 - 11:39

38

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How to calculate two complex variables integral?

Published on 09 Apr 2026 - 9:41

29

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Primitive of $ z \longmapsto (z-z_0)^k $ in $ \mathbb{C} \backslash \{z_0 \}.$

Published on 16 Apr 2026 - 11:46

264

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estimation of the rest of Taylor expansion for holomorphic function

Published on 11 Apr 2026 - 4:20

390

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Extending $\zeta$ to a meromorphic function on $\mathbb{C} - \{1\}$

Published on 29 Apr 2026 - 12:27

147

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Show that a function is bounded using Taylor expansion

Published on 12 Apr 2026 - 6:09

30

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Negation of finite order function

Published on 12 Apr 2026 - 6:25

List Question

Conformal mapping.

Determine all entire functions which are injective

Using Contour Integration to Prove $\lim_{\epsilon\to 0^{+}}\int_{-1}^{1}x^{\epsilon-1}\,\mathrm{d}x=-\pi\mathrm{i}$

Solving $z^3+3i\overline{z}=0$

Sheaf Theory for Complex Analysis

Proving entireness of a piecewise function

Gaussian integral over a wedge of the complex plane

Prove $|iXe^{itX}|\le |X|$

If a & b are primtive nth , mth root of unity then ab is kth root of unity

How to calculate two complex variables integral?

Primitive of $ z \longmapsto (z-z_0)^k $ in $ \mathbb{C} \backslash \{z_0 \}.$

estimation of the rest of Taylor expansion for holomorphic function

Extending $\zeta$ to a meromorphic function on $\mathbb{C} - \{1\}$

Show that a function is bounded using Taylor expansion

Negation of finite order function

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