List questions from eulerian-numbers

Published on 21 Nov 2016 - 3:24

128

Views

Probability generating function.

Published on 09 Feb 2017 - 23:45

88

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 15 Jun 2023 - 3:42

97

Views

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

Published on 24 Nov 2023 - 11:09

164

Views

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

Published on 11 Dec 2023 - 1:37

1k

Views

Polylogarithms of negative integer order

Published on 02 Feb 2015 - 11:32

117

Views

Formula for $q$-Analogue of Eulerian Polynomial

Published on 15 Mar 2015 - 3:56

133

Views

Coefficients of a generating function

Published on 24 Jun 2015 - 16:07

96

Views

What is the connection between Eulerian numbers and this identity?

Published on 04 Nov 2015 - 15:56

126

Views

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

Published on 27 Jan 2016 - 6:30

270

Views

How to prove this equality about Eulerian numbers?

Published on 23 Feb 2016 - 14:40

219

Views

Interpretation of Eulerian numbers using the principle of inclusion-exclusion

Published on 11 Mar 2016 - 19:43

153

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 28 Apr 2016 - 22:13

821

Views

A closed form of Eulerian numbers

Published on 20 Jan 2014 - 13:22

807

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 10 Nov 2017 - 9:20

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