List questions from eulerian-numbers

Published on 16 Nov 2017 - 5:45

344

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Eulerian Polynomial Generating Function Proof

Published on 29 Nov 2017 - 4:57

87

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The ratio between Central Eulerian Numbers and the sum of Eulerian Numbers at a fixed level converges to zero

Published on 05 Dec 2017 - 17:49

152

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Is that series-transformation known in the context of divergent summation

Published on 07 Feb 2011 - 0:23

223

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Lerch-$\small \zeta(\varphi,0,-n)$ of integer n purely real and imaginary ($\small \zeta_\varphi (-n)^2 $ is real) for $\small n \ge 2$?

Published on 26 Jul 2011 - 18:18

156

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Recurrence $C_n(t)=t(1-t)C'_{n-1}(t)+ntC_{n-1}(t)$ for Eulerian Polynomials?

Published on 05 Feb 2012 - 23:08

769

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A nicer recurrence for the Eulerian polynomials.

Published on 07 Feb 2012 - 2:16

104

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About $t$-analogue of the Eulerian polynomials.

Published on 13 Feb 2012 - 0:46

275

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Why does $\frac{1}{2}A_n(2)$ count the number of ordered set partitions?

Published on 14 Feb 2012 - 16:08

109

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$\mathbb{Z}$-Polynomials in an Enumeration Identity

Published on 29 Jun 2012 - 5:51

194

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Simon Newcomb's problem

Published on 13 Dec 2012 - 13:35

157

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Can that two double series representations of the $\eta$/$\zeta$ function be converted into each other?

Published on 19 Jan 2013 - 1:09

254

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Proof for a summation-procedure using the matrix of Eulerian numbers?

Published on 21 Feb 2013 - 12:20

267

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Simplify binomial sum

Published on 28 Nov 2020 - 16:15

51

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Does the sum $\sum_{k\ge 0}A(n,k)k^t$ have a closed form?

Published on 17 Dec 2020 - 8:36

List Question

Prove Eulerian Number using Combinatorics.

Eulerian Polynomial Generating Function Proof

The ratio between Central Eulerian Numbers and the sum of Eulerian Numbers at a fixed level converges to zero

Is that series-transformation known in the context of divergent summation

Lerch-$\small \zeta(\varphi,0,-n)$ of integer n purely real and imaginary ($\small \zeta_\varphi (-n)^2 $ is real) for $\small n \ge 2$?

Recurrence $C_n(t)=t(1-t)C'_{n-1}(t)+ntC_{n-1}(t)$ for Eulerian Polynomials?

A nicer recurrence for the Eulerian polynomials.

About $t$-analogue of the Eulerian polynomials.

Why does $\frac{1}{2}A_n(2)$ count the number of ordered set partitions?

$\mathbb{Z}$-Polynomials in an Enumeration Identity

Simon Newcomb's problem

Can that two double series representations of the $\eta$/$\zeta$ function be converted into each other?

Proof for a summation-procedure using the matrix of Eulerian numbers?

Simplify binomial sum

Does the sum $\sum_{k\ge 0}A(n,k)k^t$ have a closed form?

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