Question

What is $\int_0^\infty \frac{\sin(x^2)}{x^2}\ \,dx$?

score 72 · Answer 1 · 2026-04-16 14:44:03

72

Views

What is $\int_0^\infty \frac{\sin(x^2)}{x^2}\ \,dx$?

Published on 16 Apr 2026 - 14:44

score 58 · Answer 2 · 2026-04-14 21:33:45

58

Views

Please expand this function.

Published on 14 Apr 2026 - 21:33

score 112 · Answer 3 · 2026-04-13 17:34:02

112

Views

question about Schwarz lemma.

Published on 13 Apr 2026 - 17:34

score 105 · Answer 4 · 2026-04-17 06:29:42

105

Views

Find the sum of the series $1+\frac12 z^2+\frac{1\cdot3}{2\cdot4}z^4+....$

Published on 17 Apr 2026 - 6:29

score 221 · Answer 5 · 2026-04-11 06:08:31

221

Views

Proof of Liouville's Theorem (Check)

Published on 11 Apr 2026 - 6:08

score 46 · Answer 6 · 2026-04-15 23:26:40

46

Views

Theorem IX.13. in Reed Simon

Published on 15 Apr 2026 - 23:26

score 567 · Answer 7 · 2026-04-16 01:01:57

567

Views

Question on evaluating $\int_{C}\frac{e^{iz}}{z(z-\pi)}dz$ without the residue theorem

Published on 16 Apr 2026 - 1:01

score 771 · Answer 8 · 2026-04-16 02:39:04

771

Views

Find the image of unit disk under $f(z)= \frac{1}{z}\prod_{k=1}^{n}(z-a_k)^{\lambda_k}$

Published on 16 Apr 2026 - 2:39

score 122 · Answer 9 · 2026-04-15 14:01:26

122

Views

Holomorphicity of $F(z)=\int_{-\infty}^{+\infty}\frac{f(t)}{t-z}dt$

Published on 15 Apr 2026 - 14:01

score 1k · Answer 10 · 2026-04-13 07:12:53

1k

Views

Find the image of the half plane $\operatorname{Re}(z) > 0$ under the linear fractional transformation

Published on 13 Apr 2026 - 7:12

score 117 · Answer 11 · 2026-04-14 04:51:15

117

Views

For $z\in\mathbb{C}$, prove $\lim_{n\to\infty}n$Log$(1+z/n) = z$.

Published on 14 Apr 2026 - 4:51

score 57 · Answer 12 · 2026-04-09 03:43:32

57

Views

When an odd polynomial over $\mathbb{C}$ is a one-one map on $\mathbb{C}$?

Published on 09 Apr 2026 - 3:43

score 411 · Answer 13 · 2026-03-24 22:08:44

411

Views

a sequence of polynomials which converges uniformly on compact subsets of domain will converge uniformly on a compact set outside domain

Published on 24 Mar 2026 - 22:08

score 1.3k · Answer 14 · 2026-04-10 19:21:02

1.3k

Views

Fourier Transform of a Gaussian Function in the Complex Domain - is it trivial?

Published on 10 Apr 2026 - 19:21

score 153 · Answer 15 · 2026-04-11 09:06:50

153

Views

How to find the residue of $\frac{1}{z-f(z)}$?

Published on 11 Apr 2026 - 9:06

List Question

What is $\int_0^\infty \frac{\sin(x^2)}{x^2}\ \,dx$?

Please expand this function.

question about Schwarz lemma.

Find the sum of the series $1+\frac12 z^2+\frac{1\cdot3}{2\cdot4}z^4+....$

Proof of Liouville's Theorem (Check)

Theorem IX.13. in Reed Simon

Question on evaluating $\int_{C}\frac{e^{iz}}{z(z-\pi)}dz$ without the residue theorem

Find the image of unit disk under $f(z)= \frac{1}{z}\prod_{k=1}^{n}(z-a_k)^{\lambda_k}$

Holomorphicity of $F(z)=\int_{-\infty}^{+\infty}\frac{f(t)}{t-z}dt$

Find the image of the half plane $\operatorname{Re}(z) > 0$ under the linear fractional transformation

For $z\in\mathbb{C}$, prove $\lim_{n\to\infty}n$Log$(1+z/n) = z$.

When an odd polynomial over $\mathbb{C}$ is a one-one map on $\mathbb{C}$?

a sequence of polynomials which converges uniformly on compact subsets of domain will converge uniformly on a compact set outside domain

Fourier Transform of a Gaussian Function in the Complex Domain - is it trivial?

How to find the residue of $\frac{1}{z-f(z)}$?

Trending Questions

Popular # Hahtags

Popular Questions