Question

Generalized Fresnel Integration: $\int_{0}^ {\infty } \sin(x^n) dx $ and $\int_{0}^ {\infty } \cos(x^n) dx $

score 142 · Answer 1 · 2026-05-07 10:36:02

142

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Generalized Fresnel Integration: $\int_{0}^ {\infty } \sin(x^n) dx $ and $\int_{0}^ {\infty } \cos(x^n) dx $

Published on 07 May 2026 - 10:36

score 328 · Answer 2 · 2026-05-05 06:49:37

328

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Is there any exponential function that can approximate $\frac{1}{x}$?

Published on 05 May 2026 - 6:49

score 177 · Answer 3 · 2026-05-05 02:07:07

177

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What can be said about the series $\sum_{n=1}^{\infty} \left[ \frac{1}{n} - \frac{1}{\sqrt{ n^2 + x^2 }} \right]$

Published on 05 May 2026 - 2:07

score 73 · Answer 4 · 2026-05-05 01:47:04

73

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Branch of Math That Links Indicator Function and Expressability in a Ring

Published on 05 May 2026 - 1:47

score 736 · Answer 5 · 2026-05-05 16:32:01

736

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Generating function of the sequence $\binom{2n}{n}^3H_n$

Published on 05 May 2026 - 16:32

score 147 · Answer 6 · 2026-05-05 02:44:34

147

Views

Deriving $\sin(\pi s)=\pi s\prod_{n=1}^\infty (1-\frac{s^2}{n^2})$ without Hadamard Factorization

Published on 05 May 2026 - 2:44

score 109 · Answer 7 · 2026-05-05 10:27:36

109

Views

quotients of Dedekind eta at irrational points on the boundary

Published on 05 May 2026 - 10:27

score 341 · Answer 8 · 2026-04-30 12:29:37

341

Views

Sources for specific identities of spherical Bessel functions and spherical harmonics

Published on 30 Apr 2026 - 12:29

score 278 · Answer 9 · 2026-05-05 03:37:04

278

Views

Need better resources and explanation to the Weierstrass functions

Published on 05 May 2026 - 3:37

score 217 · Answer 10 · 2026-04-29 12:06:15

217

Views

Dilogarithmic fashion: the case $(p,q)=(3,4)$ of $\int_{0}^{1}\frac{\text{Li}_p(x)\,\text{Li}_q(x)}{x^2}\,dx$

Published on 29 Apr 2026 - 12:06

score 83 · Answer 11 · 2026-05-10 11:37:02

83

Views

infinite triple product

Published on 10 May 2026 - 11:37

score 177 · Answer 12 · 2026-05-05 04:15:52

177

Views

Closed form of Integral of ellipticK and log using Mellin transform? $\int_{0}^4 K(1-u^2) \log[1+u z] \frac{du}{u}$

Published on 05 May 2026 - 4:15

score 620 · Answer 13 · 2026-04-29 12:05:21

620

Views

Asymptotic expansion of the hypergeometric function

Published on 29 Apr 2026 - 12:05

score 156 · Answer 14 · 2026-05-10 12:29:00

156

Views

Meijer G-function

Published on 10 May 2026 - 12:29

score 80 · Answer 15 · 2026-05-10 12:30:06

80

Views

Thomae function -- points lying on the same line

Published on 10 May 2026 - 12:30

List Question

Generalized Fresnel Integration: $\int_{0}^ {\infty } \sin(x^n) dx $ and $\int_{0}^ {\infty } \cos(x^n) dx $

Is there any exponential function that can approximate $\frac{1}{x}$?

What can be said about the series $\sum_{n=1}^{\infty} \left[ \frac{1}{n} - \frac{1}{\sqrt{ n^2 + x^2 }} \right]$

Branch of Math That Links Indicator Function and Expressability in a Ring

Generating function of the sequence $\binom{2n}{n}^3H_n$

Deriving $\sin(\pi s)=\pi s\prod_{n=1}^\infty (1-\frac{s^2}{n^2})$ without Hadamard Factorization

quotients of Dedekind eta at irrational points on the boundary

Sources for specific identities of spherical Bessel functions and spherical harmonics

Need better resources and explanation to the Weierstrass functions

Dilogarithmic fashion: the case $(p,q)=(3,4)$ of $\int_{0}^{1}\frac{\text{Li}_p(x)\,\text{Li}_q(x)}{x^2}\,dx$

infinite triple product

Closed form of Integral of ellipticK and log using Mellin transform? $\int_{0}^4 K(1-u^2) \log[1+u z] \frac{du}{u}$

Asymptotic expansion of the hypergeometric function

Meijer G-function

Thomae function -- points lying on the same line

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