Showing that $\Gamma(x)\Gamma(y) = \Gamma(x+y)\beta(x,y)$ via change of variable
48651
Prove that $\int_0^1t^{p-1}(1-t)^{q-1}\,dt=\frac{\Gamma(p)\Gamma(q)}{\Gamma(p+q)}$ for positive $p$ and $q$
68022
Duplication formula for gamma function
40019
Showing that $\gamma = -\int_0^{\infty} e^{-t} \log t \,dt$, where $\gamma$ is the Euler-Mascheroni constant.
11535
Square root of an inverse gamma distributed random variable
150141
Showing $X$, $Y$ are not independent but $\operatorname{Cov}[X, Y] = 0$
64932
Show that $\lim_{x\to a^{+}} g(x) =g(a)$
77134
Proving a three variables inequality
79024
the derivation of E(X|X)
1932
How to show this equality of $\rho(X,Y)$
125966
Why there's a finite $\Gamma '$ such that $\Gamma ' \vDash \varphi$?
120957
show that Cov(X+ Y, X-Y)= Var(X) - Var(Y)
34702
Show $|A + uv^T| = (1 + v^T A^{-1} u) |A|$
67489
How to show that $E[(\hat\theta -\theta)^2]<Var(\bar X)=\dfrac{1}{n}$?
141391
how to find $\Gamma(n+3/2)$
54461
Showing independence of random variables
19457
Show that: $\inf(A+B) = \inf(A)+ \inf(B)$
104321
Prove that $1 + \cos\alpha + \cos\beta + \cos\gamma = 0$