Question

Is an entire function upper bounded by a polinomial a polynomial?

score 61 · Answer 1 · 2026-04-10 18:16:01

61

Views

Is an entire function upper bounded by a polinomial a polynomial?

Published on 10 Apr 2026 - 18:16

score 366 · Answer 2 · 2026-04-14 06:50:03

366

Views

Complex integral $\oint_{|z|=1} \frac{z^2}{\sin^3 z \cos z} dz$

Published on 14 Apr 2026 - 6:50

score 39 · Answer 3 · 2026-04-17 00:36:56

39

Views

Radius Convergence

Published on 17 Apr 2026 - 0:36

score 866 · Answer 4 · 2026-04-12 11:00:05

866

Views

Green's Theorem and the Cauchy Integral Formula/Cauchy's Theorem

Published on 12 Apr 2026 - 11:00

score 277 · Answer 5 · 2026-04-16 04:46:06

277

Views

Using complex method to evaluate $\int_0^\infty\frac{\ln(1+x)}{1+x^2}dx$

Published on 16 Apr 2026 - 4:46

score 209 · Answer 6 · 2026-04-23 13:45:49

209

Views

Schottky's Theorem - Sup is Max and more

Published on 23 Apr 2026 - 13:45

score 354 · Answer 7 · 2026-03-25 06:12:01

354

Views

Solution for the Laplace Transform $\mathscr{L}\left\{\frac{t^{\alpha-1}}{t-\mu}\right\}(\beta)$

Published on 25 Mar 2026 - 6:12

score 62 · Answer 8 · 2026-04-25 00:06:07

62

Views

Biholomorphic function question

Published on 25 Apr 2026 - 0:06

score 185 · Answer 9 · 2026-04-15 07:31:46

Showing that $\frac{1}{2 \pi i} \oint_{\Psi_1} f(\zeta)\,d\zeta = \frac{1}{2 \pi i} \oint_{\Psi_2} f(\zeta)\,d\zeta$ via Cauchy-Goursat?

score 310 · Answer 10 · 2026-04-16 16:28:12

310

Views

Showing that $F(w) = \frac{1}{2 \pi i} \oint_{\gamma} \frac{F(\zeta)}{\zeta - w}d \zeta$ is holomorphic?

Published on 16 Apr 2026 - 16:28

score 54 · Answer 11 · 2026-04-15 23:44:05

54

Views

When $f$ holomorphic, $|f(z)-f(0)-f'(0)z|\leq 3c|z|^2$

Published on 15 Apr 2026 - 23:44

score 60 · Answer 12 · 2026-04-14 07:35:34

60

Views

Subharmonic inequality 4

Published on 14 Apr 2026 - 7:35

score 128 · Answer 13 · 2026-04-14 21:46:08

128

Views

Complex integral with $\int_{+\partial D}\frac{\sin\left(\frac{1}{z}\right)\cos\left(\frac{1}{z-2}\right)}{z-5}\mathrm{dz}$

Published on 14 Apr 2026 - 21:46

score 59 · Answer 14 · 2026-04-15 06:43:29

59

Views

Getting two different answers for the imaginary part of an analytic function.

Published on 15 Apr 2026 - 6:43

score 1.2k · Answer 15 · 2026-04-14 22:28:12

1.2k

Views

automorphism of complex torus

Published on 14 Apr 2026 - 22:28

List Question

Is an entire function upper bounded by a polinomial a polynomial?

Complex integral $\oint_{|z|=1} \frac{z^2}{\sin^3 z \cos z} dz$

Radius Convergence

Green's Theorem and the Cauchy Integral Formula/Cauchy's Theorem

Using complex method to evaluate $\int_0^\infty\frac{\ln(1+x)}{1+x^2}dx$

Schottky's Theorem - Sup is Max and more

Solution for the Laplace Transform $\mathscr{L}\left\{\frac{t^{\alpha-1}}{t-\mu}\right\}(\beta)$

Biholomorphic function question

Showing that $\frac{1}{2 \pi i} \oint_{\Psi_1} f(\zeta)\,d\zeta = \frac{1}{2 \pi i} \oint_{\Psi_2} f(\zeta)\,d\zeta$ via Cauchy-Goursat?

Showing that $F(w) = \frac{1}{2 \pi i} \oint_{\gamma} \frac{F(\zeta)}{\zeta - w}d \zeta$ is holomorphic?

When $f$ holomorphic, $|f(z)-f(0)-f'(0)z|\leq 3c|z|^2$

Subharmonic inequality 4

Complex integral with $\int_{+\partial D}\frac{\sin\left(\frac{1}{z}\right)\cos\left(\frac{1}{z-2}\right)}{z-5}\mathrm{dz}$

Getting two different answers for the imaginary part of an analytic function.

automorphism of complex torus

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