Question

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

score 134 · Answer 1 · 2026-03-18 13:42:25

134

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

Published on 18 Mar 2026 - 13:42

score 321 · Answer 2 · 2026-03-18 12:14:17

321

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

Published on 18 Mar 2026 - 12:14

score 170 · Answer 3 · 2026-03-19 03:36:57

170

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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 19 Mar 2026 - 3:36

score 66 · Answer 4 · 2026-03-17 21:49:43

66

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

Published on 17 Mar 2026 - 21:49

score 728 · Answer 5 · 2026-03-17 16:57:32

728

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

Published on 17 Mar 2026 - 16:57

score 141 · Answer 6 · 2026-03-17 09:08:40

141

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

Published on 17 Mar 2026 - 9:08

score 102 · Answer 7 · 2026-03-19 04:35:20

102

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quotients of Dedekind eta at irrational points on the boundary

Published on 19 Mar 2026 - 4:35

score 334 · Answer 8 · 2026-03-21 19:55:59

334

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Sources for specific identities of spherical Bessel functions and spherical harmonics

Published on 21 Mar 2026 - 19:55

score 270 · Answer 9 · 2026-03-20 19:43:12

270

Views

Need better resources and explanation to the Weierstrass functions

Published on 20 Mar 2026 - 19:43

score 210 · Answer 10 · 2026-03-21 10:05:07

210

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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 21 Mar 2026 - 10:05

score 72 · Answer 11 · 2026-03-17 22:33:57

72

Views

infinite triple product

Published on 17 Mar 2026 - 22:33

score 170 · Answer 12 · 2026-03-20 06:09:53

170

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 20 Mar 2026 - 6:09

score 611 · Answer 13 · 2026-03-22 05:02:02

611

Views

Asymptotic expansion of the hypergeometric function

Published on 22 Mar 2026 - 5:02

score 148 · Answer 14 · 2026-03-26 06:00:54

148

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Meijer G-function

Published on 26 Mar 2026 - 6:00

score 74 · Answer 15 · 2026-03-26 06:00:50

74

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Thomae function -- points lying on the same line

Published on 26 Mar 2026 - 6:00

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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