New posts in generating-functions

Compositions of $n$ with largest part at most $m$

combinatorics power-series generating-functions

Generating function on Lehman's Mathematics for Computer Science

generating-functions

A Ramanujan infinite series

sequences-and-series binomial-coefficients generating-functions

Combinatorial interpretation of the identity $(f \circ f \circ f)(x) = x$ where $f(x) = 1/(1-x)$ for $x\in(-1,1)$

combinatorics complex-analysis generating-functions mobius-transformation

Combinatorial Interpretation of Fractional Binomial Coefficients

combinatorics binomial-coefficients generating-functions catalan-numbers

How to evaluate $\int_0^y\frac{\ln x\ln^2(1-x)}{x}dx$

integration sequences-and-series generating-functions closed-form harmonic-numbers

Summation Formula for Tangent/Secant Numbers

calculus trigonometry taylor-expansion generating-functions continued-fractions

Stirling numbers of the second kind: How to obtain a recurrence relation from a generating function?

recurrence-relations generating-functions stirling-numbers

Generating function and integer sequence that arise from this function

combinatorics power-series generating-functions catalan-numbers

How to solve these recurrence relations by using generating function [closed]

recurrence-relations generating-functions

Proof of a Combinatorial Abel Identity

sequences-and-series combinatorics discrete-mathematics generating-functions

The number of permutations of $\{1,2,\ldots,n\}$ that have exactly one ascent (rise).

combinatorics generating-functions

Generating function for the divisor function

number-theory analytic-number-theory generating-functions

Closed form of factorial and cascading power sum

calculus sequences-and-series combinatorics generating-functions hypergeometric-function

Infinite series with harmonic numbers related to elliptic integrals

sequences-and-series special-functions generating-functions harmonic-numbers elliptic-integrals

Placing a kth adjacent term in a row of k-1 non-adjacent terms

combinatorics combinations generating-functions

What are generating functions?

combinatorics generating-functions

Can this be proved using Combinatorics or generating functions?

combinatorics summation binomial-coefficients generating-functions combinatorial-proofs

Partition Generating Function

combinatorics generating-functions integer-partitions

The sum $\sum_{j=0}^n \binom{n}{j} \left\{ j \atop k \right\} x^j$

combinatorics binomial-coefficients recurrence-relations generating-functions stirling-numbers