query: $X\sim N(0,1)$, find the generating function of $Y=X^2$
positive_passages.docid: 4265
positive_passages.text: Finding the Moment Generating Function of $X^2$ when $X\sim N(0,1)$
negative_passages.docid: 95175
negative_passages.text: Derive the generating function: $\frac1{(1-x)^3}= \sum_{n=0}^\infty \binom{n+2}{2}x^n$
negative_passages.docid: 96251
negative_passages.text: transforming ordinary generating function into exponential generating function
negative_passages.docid: 115969
negative_passages.text: Amount of generators for cyclic group and Euler's function
negative_passages.docid: 46622
negative_passages.text: Let $ Y = \{ (1,1),(0,0\} \subset \mathbb A_k^2$. Find the $ \mathbb I(Y)$.
negative_passages.docid: 53446
negative_passages.text: Let $\ln X \sim \operatorname{Exp}(1)$ and $X,Y$ i.i.d. What is the distribution of $Z=XY$?
negative_passages.docid: 157552
negative_passages.text: Find the coefficient of $x^n$ simply by using binomial theorem
negative_passages.docid: 151160
negative_passages.text: Multiple choice question about generating function of a sequence
negative_passages.docid: 126937
negative_passages.text: If $X$ has a $U[-1, 3]$ distribution and $Y = X^2$, find the probability density function of $Y$ .
negative_passages.docid: 141438
negative_passages.text: If $X$ is distributed $\mathcal{N}\sim(\mu,1)$ then what is the PDF of $X^2$?
negative_passages.docid: 86567
negative_passages.text: Understanding $\sum_{x = 0}^y x = \frac{y(y + 1)}{2}$ in a step of a proof
negative_passages.docid: 41448
negative_passages.text: Counting set for generating functions
negative_passages.docid: 78314
negative_passages.text: Generating function for the factorial sequence
negative_passages.docid: 66457
negative_passages.text: Series expansion of $xy'=y$
negative_passages.docid: 84213
negative_passages.text: How to show $n\sum_{i=1}^n {x_i^2} \ge (\sum_{i=1}^n{x_i})^2$
negative_passages.docid: 148570
negative_passages.text: Find the all possible real solutions of $x^y=y^x$
negative_passages.docid: 84289
negative_passages.text: Ordinary generating function for Bernoulli polynomial