Moment generating function for $\frac{1}{2\theta}e^{-|x|/\theta}$
126838
Moment generating function of Laplace distribution step by step
147639
Exponential generating function with Stirling numbers
158971
Computing the Fourier series of $f(\theta)=(\pi-\theta)^2/4$ for $0\leq\theta\leq{2\pi}$
36701
$\displaystyle\int_{0}^{2\pi}\frac{1}{a+ \cos\theta}\,d\theta$
24562
What is the moment generating function of the Laplace distribution?
29578
Why is $\binom{2n}{n} \asymp \Theta \big(\frac{2^{2n}}{\sqrt{n}}\big)$?
67861
What is the moment generating function of the generalized (multivariate) chi-square distribution?
100711
$\int_{-\infty}^{\infty}e^{-zt^2 + 2wt} \ dt = e^{w^2 / z} \sqrt{\frac{\pi}{z}}$ for $z,w \in \mathbb{C}, Re(z) > 0$
146762
Closed form for $\sum_{k=0}^{n} \binom{n}{k}\frac{(-1)^k}{(k+1)^2}$
96251
transforming ordinary generating function into exponential generating function
74570
Finding distribution of $\frac{X_1+X_2 X_3}{\sqrt{1+X_3^2}}$
84289
Ordinary generating function for Bernoulli polynomial
28332
Proof of $\frac{(n-1)S^2}{\sigma^2} \sim \chi^2_{n-1}$
55869
Use the Maclaurin series to prove that $e^{i\theta} = cos(\theta) + isin(\theta)$
24202
The value of the trilogarithm at $\frac{1}{2}$
126236
General closed form of $\int_{0}^{\theta_0} \frac{1}{\sqrt{\cos \theta-\cos \theta_0}} d\theta$
92399
Some questions about the function $xe^{-x}$