Question

Numerical approximation of the modified Bessel function $I_0$ with radical argument for integration purposes

score 1.4k · Answer 1 · 2026-04-18 00:42:25

1.4k

Views

Numerical approximation of the modified Bessel function $I_0$ with radical argument for integration purposes

Published on 18 Apr 2026 - 0:42

score 595 · Answer 2 · 2026-04-12 11:47:13

595

Views

Integral representation of cosecant function

Published on 12 Apr 2026 - 11:47

score 130 · Answer 3 · 2026-04-22 15:25:49

130

Views

Construct a generating function for the components of a sum

Published on 22 Apr 2026 - 15:25

score 309 · Answer 4 · 2026-04-08 08:42:38

309

Views

Bessel function equation

Published on 08 Apr 2026 - 8:42

score 2.6k · Answer 5 · 2026-04-12 03:25:41

2.6k

Views

Calculate an integral involving Hermite polynomials

Published on 12 Apr 2026 - 3:25

score 281 · Answer 6 · 2026-04-17 01:21:26

281

Views

Prove that $\Gamma (-n+x)=\frac{(-1)^n}{n!}\left [ \frac{1}{x}-\gamma +\sum_{k=1}^{n}k^{-1}+O(x) \right ]$

Published on 17 Apr 2026 - 1:21

score 100 · Answer 7 · 2026-04-12 22:23:09

100

Views

Proof of $\int_0^\infty t^{a-1}e^{it}\,dt=\Gamma(a)e^{ia\pi/2}$?

Published on 12 Apr 2026 - 22:23

score 127 · Answer 8 · 2026-04-15 05:53:00

127

Views

A more general exponential integral

Published on 15 Apr 2026 - 5:53

score 703 · Answer 9 · 2026-04-17 13:48:25

703

Views

Evaluating $\int_0^1 \frac{1}{\sqrt{\Gamma(x)}} dx$

Published on 17 Apr 2026 - 13:48

score 1k · Answer 10 · 2026-04-17 01:05:40

1k

Views

A hard log definite integral: $\int_0^{\pi/4}\ln^3\sin x\,\mathrm dx$

Published on 17 Apr 2026 - 1:05

score 91 · Answer 11 · 2026-04-18 00:49:31

91

Views

Roots of the equation $I_1(b x) - x I_0(b x) = 0$

Published on 18 Apr 2026 - 0:49

score 1.8k · Answer 12 · 2026-04-12 09:44:17

1.8k

Views

Turning an elliptic curve over C into a complex torus

Published on 12 Apr 2026 - 9:44

score 465 · Answer 13 · 2026-04-17 14:04:43

465

Views

The double integral $\int_0^1 \int_0^1 \frac{1-x}{1-xy}(-\log(xy))^s \, dx \, dy$

Published on 17 Apr 2026 - 14:04

score 521 · Answer 14 · 2026-04-15 19:59:01

521

Views

Integral $\int\limits_0^\infty \prod\limits_{k=0}^\infty\frac{1+\frac{x^2}{(b+1+k)^2}}{1+\frac{x^2}{(a+k)^2}} \ dx$

Published on 15 Apr 2026 - 19:59

score 87 · Answer 15 · 2026-04-15 04:41:54

87

Views

The cdf of a beta variable, evaluated at the mean

Published on 15 Apr 2026 - 4:41

List Question

Numerical approximation of the modified Bessel function $I_0$ with radical argument for integration purposes

Integral representation of cosecant function

Construct a generating function for the components of a sum

Bessel function equation

Calculate an integral involving Hermite polynomials

Prove that $\Gamma (-n+x)=\frac{(-1)^n}{n!}\left [ \frac{1}{x}-\gamma +\sum_{k=1}^{n}k^{-1}+O(x) \right ]$

Proof of $\int_0^\infty t^{a-1}e^{it}\,dt=\Gamma(a)e^{ia\pi/2}$?

A more general exponential integral

Evaluating $\int_0^1 \frac{1}{\sqrt{\Gamma(x)}} dx$

A hard log definite integral: $\int_0^{\pi/4}\ln^3\sin x\,\mathrm dx$

Roots of the equation $I_1(b x) - x I_0(b x) = 0$

Turning an elliptic curve over C into a complex torus

The double integral $\int_0^1 \int_0^1 \frac{1-x}{1-xy}(-\log(xy))^s \, dx \, dy$

Integral $\int\limits_0^\infty \prod\limits_{k=0}^\infty\frac{1+\frac{x^2}{(b+1+k)^2}}{1+\frac{x^2}{(a+k)^2}} \ dx$

The cdf of a beta variable, evaluated at the mean

Trending Questions

Popular # Hahtags

Popular Questions