List questions from complex-analysis

Published on 09 Apr 2026 - 0:27

625

Views

Differentiability of $z \rightarrow \cos(\bar{z})$

Published on 10 Apr 2026 - 21:37

57

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find the number of analytic functions which vanish only on $S$?

Published on 28 Jan 2018 - 15:48

49

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Why does $\frac{1}{N}\sum_{j=0}^{N-1} e^{2\pi ij(k-k')/N} = 0$?

Published on 25 Mar 2026 - 11:13

801

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Largest region where a complex function is analytic

Published on 28 Jan 2018 - 16:08

350

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Fourier transform that gives Heaviside step function

Published on 10 Apr 2026 - 8:34

185

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Choosing correct contour for $\int_{-\infty}^{\infty}\frac{x-\sin x}{x^3}\,dx$

Published on 29 Mar 2026 - 6:08

173

Views

Non-zero index implies index $1$?

Published on 05 Apr 2026 - 23:27

193

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(Proof) Analytic function have isolated zeros?

Published on 09 Apr 2026 - 17:29

69

Views

complex numbers (Proving an equality)

Published on 05 Apr 2026 - 21:41

415

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Complex function not continuous at $z_0$

Published on 10 Apr 2026 - 18:42

343

Views

Asymptotics of a recursive sequence

Published on 25 Mar 2026 - 1:33

1.1k

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An entire function whose integral is bounded is identically zero

Published on 28 Jan 2018 - 23:44

127

Views

If f and g are analytic, having finitely many zeros and they do not have common zeros, then af + bg=1 for Analytic functions a, b.

Published on 29 Jan 2018 - 4:16

660

Views

True or False? If $f(z)$ is analytic in a simply connected domain $D$ and continuous in $\bar{D}$, then $\oint_{\delta D}f(z)dz=0$.

Published on 29 Jan 2018 - 4:56

List Question

Residue Theorem: Inside vs. Outside

Differentiability of $z \rightarrow \cos(\bar{z})$

find the number of analytic functions which vanish only on $S$?

Why does $\frac{1}{N}\sum_{j=0}^{N-1} e^{2\pi ij(k-k')/N} = 0$?

Largest region where a complex function is analytic

Fourier transform that gives Heaviside step function

Choosing correct contour for $\int_{-\infty}^{\infty}\frac{x-\sin x}{x^3}\,dx$

Non-zero index implies index $1$?

(Proof) Analytic function have isolated zeros?

complex numbers (Proving an equality)

Complex function not continuous at $z_0$

Asymptotics of a recursive sequence

An entire function whose integral is bounded is identically zero

If f and g are analytic, having finitely many zeros and they do not have common zeros, then af + bg=1 for Analytic functions a, b.

True or False? If $f(z)$ is analytic in a simply connected domain $D$ and continuous in $\bar{D}$, then $\oint_{\delta D}f(z)dz=0$.

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