Question

How to evaluate $\int_0^\infty \exp \left(-\frac{A}{B + Cx} - Dx\right) dx$?

score 68 · Answer 1 · 2026-04-14 08:32:30

68

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How to evaluate $\int_0^\infty \exp \left(-\frac{A}{B + Cx} - Dx\right) dx$?

Published on 14 Apr 2026 - 8:32

score 1.4k · Answer 2 · 2026-04-10 19:49:09

1.4k

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How to prove generating function of legendre polynomials? What am I doing wrong?

Published on 10 Apr 2026 - 19:49

score 106 · Answer 3 · 2026-05-01 02:57:09

106

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Finding the Legendre Polynomial formula from the Legendre equation

Published on 01 May 2026 - 2:57

score 241 · Answer 4 · 2026-04-16 00:56:49

241

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Related expressions & non integral forms of $-2π\sum_{k=1}^∞\sum_{k=1}^n \binom{n-1}{k-1}\frac{(-1)^{k+n}+(-1)^n}{k^n}=1.774473…$ in special f(x) etc.

Published on 16 Apr 2026 - 0:56

score 421 · Answer 5 · 2026-04-13 09:25:50

421

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Orthogonality of Chebyshev Second Kind

Published on 13 Apr 2026 - 9:25

score 72 · Answer 6 · 2026-04-17 10:19:04

72

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Do these mathematical functions have a name? $f(x)=x^x$, $f(x, a)=x^{ax}$, $f(x,a,b)=x^{ax+b}$, $f(x,a,b,c)=x^{ax^2+bx+c}$

Published on 17 Apr 2026 - 10:19

score 234 · Answer 7 · 2026-04-28 18:50:54

234

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Finding Closed form solution

Published on 28 Apr 2026 - 18:50

score 60 · Answer 8 · 2026-04-12 09:44:17

60

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How to integrate $\int\limits_{y = d}^\infty {\frac{{\exp \left( { - a \times y} \right)}}{{b \times y + c}}dy}$?

Published on 12 Apr 2026 - 9:44

score 355 · Answer 9 · 2026-04-17 07:35:01

355

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Challenging integral $I=\int_0^{\pi/2}x^2\frac{\ln(\sin x)}{\cos x}dx$

Published on 17 Apr 2026 - 7:35

score 222 · Answer 10 · 2026-04-12 02:00:02

222

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Why is $\partial f(x)/\partial x_i$ homogeneous of degree $k-1$ if $f(x)$ is homogeneous of degree $k \geq 1$?

Published on 12 Apr 2026 - 2:00

score 829 · Answer 11 · 2026-04-16 18:38:46

829

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Local maximum uniqueness of the logarithm of the Student-t distribution

Published on 16 Apr 2026 - 18:38

score 46 · Answer 12 · 2026-04-15 07:15:30

46

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${\rm E}_n$ function for non-integer $n$

Published on 15 Apr 2026 - 7:15

score 283 · Answer 13 · 2026-04-09 17:44:56

283

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Bounds on the difference between the polylogarithm with negative base and the gamma function

Published on 09 Apr 2026 - 17:44

score 104 · Answer 14 · 2026-04-10 18:01:48

104

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Beta function as result of an integral

Published on 10 Apr 2026 - 18:01

score 162 · Answer 15 · 2026-04-12 19:57:37

162

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Solutions to $\Gamma(z,1)^2 + \Gamma(z,1) = 0 $?

Published on 12 Apr 2026 - 19:57

List Question

How to evaluate $\int_0^\infty \exp \left(-\frac{A}{B + Cx} - Dx\right) dx$?

How to prove generating function of legendre polynomials? What am I doing wrong?

Finding the Legendre Polynomial formula from the Legendre equation

Related expressions & non integral forms of $-2π\sum_{k=1}^∞\sum_{k=1}^n \binom{n-1}{k-1}\frac{(-1)^{k+n}+(-1)^n}{k^n}=1.774473…$ in special f(x) etc.

Orthogonality of Chebyshev Second Kind

Do these mathematical functions have a name? $f(x)=x^x$, $f(x, a)=x^{ax}$, $f(x,a,b)=x^{ax+b}$, $f(x,a,b,c)=x^{ax^2+bx+c}$

Finding Closed form solution

How to integrate $\int\limits_{y = d}^\infty {\frac{{\exp \left( { - a \times y} \right)}}{{b \times y + c}}dy}$?

Challenging integral $I=\int_0^{\pi/2}x^2\frac{\ln(\sin x)}{\cos x}dx$

Why is $\partial f(x)/\partial x_i$ homogeneous of degree $k-1$ if $f(x)$ is homogeneous of degree $k \geq 1$?

Local maximum uniqueness of the logarithm of the Student-t distribution

${\rm E}_n$ function for non-integer $n$

Bounds on the difference between the polylogarithm with negative base and the gamma function

Beta function as result of an integral

Solutions to $\Gamma(z,1)^2 + \Gamma(z,1) = 0 $?

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