List questions from eulerian-numbers

Published on 23 Feb 2026 - 4:56

130

Views

Probability generating function.

Published on 01 Apr 2026 - 0:03

89

Views

Does $\sum_{k=0}^{\infty} \sum_{n=1}^{\infty} x^nn^k =cx-x\ln(x)+x\ln(1-x) $ for $0 < x < 1$ for some real $c$? If so, what is $c$?

Published on 23 Feb 2026 - 4:59

98

Views

Identity connecting Stirling numbers of both kinds with second order Eulerian numbers

Published on 23 Feb 2026 - 4:59

165

Views

Sum of the series $\sum_{k=0}^\infty k^ne^{-k}$ for a positive integer $n$

Published on 23 Feb 2026 - 4:56

1k

Views

Polylogarithms of negative integer order

Published on 23 Feb 2026 - 4:51

118

Views

Formula for $q$-Analogue of Eulerian Polynomial

Published on 23 Feb 2026 - 4:55

135

Views

Coefficients of a generating function

Published on 01 Apr 2026 - 6:39

97

Views

What is the connection between Eulerian numbers and this identity?

Published on 23 Feb 2026 - 4:53

127

Views

Number of Permutation with Pro = k equals the Eulerian Number A(n,k+1)

Published on 23 Feb 2026 - 4:55

271

Views

How to prove this equality about Eulerian numbers?

Published on 23 Feb 2026 - 4:52

220

Views

Interpretation of Eulerian numbers using the principle of inclusion-exclusion

Published on 23 Feb 2026 - 4:56

154

Views

Does $x\left(\frac{d}{dx}\left(\cdots x \left(\frac{d}{dx} \left( \frac{x}{1-x}\right)\right)\cdots\right)\right)$ have a closed form expression?

Published on 23 Feb 2026 - 4:57

823

Views

A closed form of Eulerian numbers

Published on 01 Apr 2026 - 16:40

808

Views

Compute the integral $\int_0^1\int_0^1\ldots\int_0^1 f(x_1 + x_2 + \ldots + x_n)\,dx_1\,dx_2\ldots dx_n $

Published on 23 Feb 2026 - 4:58

List Question

Identity on the q-analog of the Eulerian polynomial

Probability generating function.

Does $\sum_{k=0}^{\infty} \sum_{n=1}^{\infty} x^nn^k =cx-x\ln(x)+x\ln(1-x) $ for $0 < x < 1$ for some real $c$? If so, what is $c$?

Identity connecting Stirling numbers of both kinds with second order Eulerian numbers

Sum of the series $\sum_{k=0}^\infty k^ne^{-k}$ for a positive integer $n$

Polylogarithms of negative integer order

Formula for $q$-Analogue of Eulerian Polynomial

Coefficients of a generating function

What is the connection between Eulerian numbers and this identity?

Number of Permutation with Pro = k equals the Eulerian Number A(n,k+1)

How to prove this equality about Eulerian numbers?

Interpretation of Eulerian numbers using the principle of inclusion-exclusion

Does $x\left(\frac{d}{dx}\left(\cdots x \left(\frac{d}{dx} \left( \frac{x}{1-x}\right)\right)\cdots\right)\right)$ have a closed form expression?

A closed form of Eulerian numbers

Compute the integral $\int_0^1\int_0^1\ldots\int_0^1 f(x_1 + x_2 + \ldots + x_n)\,dx_1\,dx_2\ldots dx_n $

Trending Questions

Popular # Hahtags

Popular Questions