Question

Proving upper bound $|\tan(z)| < 2$ on a contour

score 872 · Answer 1 · 2026-04-13 11:56:24

872

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Proving upper bound $|\tan(z)| < 2$ on a contour

Published on 13 Apr 2026 - 11:56

score 547 · Answer 2 · 2026-04-10 21:46:19

547

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Finding a meromorphic function on a compact Riemann surface with prescribed zero and pole

Published on 10 Apr 2026 - 21:46

score 2.6k · Answer 3 · 2026-04-17 09:00:38

2.6k

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Proof of the Extended Liouville's Theorem

Published on 17 Apr 2026 - 9:00

score 51 · Answer 4 · 2026-04-15 10:32:13

51

Views

Holomorphic functions with values in $L^2(X)$ vs. pointwise holomorphy.

Published on 15 Apr 2026 - 10:32

score 95 · Answer 5 · 2026-04-16 06:59:41

95

Views

Find all complex numbers satisfying $z\cdot\bar{z}=41$, for which $|z-9|+|z-9i|$ has the minimum value

Published on 16 Apr 2026 - 6:59

score 300 · Answer 6 · 2026-04-10 08:59:49

300

Views

complex integration on a closed contour

Published on 10 Apr 2026 - 8:59

score 59 · Answer 7 · 2026-04-13 11:54:00

59

Views

Weaker hypothesis for the identity theorem for analytic functions

Published on 13 Apr 2026 - 11:54

score 95 · Answer 8 · 2026-04-13 21:42:08

95

Views

Proving the growth theorem for functions of $S$

Published on 13 Apr 2026 - 21:42

score 74 · Answer 9 · 2026-04-10 18:19:41

74

Views

An integral relation of gamma function

Published on 10 Apr 2026 - 18:19

score 1.8k · Answer 10 · 2026-04-16 09:09:42

1.8k

Views

Finding integral $\int_{0}^{\infty} \frac{x^{\alpha}\log{x}}{1-x^2}dx$ using complex analysis - residues

Published on 16 Apr 2026 - 9:09

score 56 · Answer 11 · 2026-04-15 10:49:48

56

Views

An apparent contradiction based on considering the series of $f(z)$ and relating it to $f(1/z)$

Published on 15 Apr 2026 - 10:49

score 58 · Answer 12 · 2026-04-09 21:45:38

58

Views

How to convert my equation (Exponential) to cot form?

Published on 09 Apr 2026 - 21:45

score 321 · Answer 13 · 2026-04-13 00:56:05

321

Views

Maximize the derivative of a bounded harmonic function on the disk

Published on 13 Apr 2026 - 0:56

score 180 · Answer 14 · 2026-04-17 01:12:03

180

Views

Number of analytic functions such that $(f(\frac{1}{n}))^3=\frac{n}{n+1}.$

Published on 17 Apr 2026 - 1:12

score 186 · Answer 15 · 2026-04-17 12:01:45

186

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$f$ and $g$ entire and $f(1/n) = g(1/n)$ $\forall n\in \Bbb{N}$, then $f=g$ in $\Bbb{C}$?

Published on 17 Apr 2026 - 12:01

List Question

Proving upper bound $|\tan(z)| < 2$ on a contour

Finding a meromorphic function on a compact Riemann surface with prescribed zero and pole

Proof of the Extended Liouville's Theorem

Holomorphic functions with values in $L^2(X)$ vs. pointwise holomorphy.

Find all complex numbers satisfying $z\cdot\bar{z}=41$, for which $|z-9|+|z-9i|$ has the minimum value

complex integration on a closed contour

Weaker hypothesis for the identity theorem for analytic functions

Proving the growth theorem for functions of $S$

An integral relation of gamma function

Finding integral $\int_{0}^{\infty} \frac{x^{\alpha}\log{x}}{1-x^2}dx$ using complex analysis - residues

An apparent contradiction based on considering the series of $f(z)$ and relating it to $f(1/z)$

How to convert my equation (Exponential) to cot form?

Maximize the derivative of a bounded harmonic function on the disk

Number of analytic functions such that $(f(\frac{1}{n}))^3=\frac{n}{n+1}.$

$f$ and $g$ entire and $f(1/n) = g(1/n)$ $\forall n\in \Bbb{N}$, then $f=g$ in $\Bbb{C}$?

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