List questions from bernoulli-polynomials | MathQA

FUN with f̶̶l̶̶a̶̶g̶̶s̶ Newton Cotes Quadrature formula and Bernoulli polynomials of the second kind

Published on 10 Nov 2021 - 17:11

Proof of sum with Bernoulli poly: $\frac{(-1)^{n+1}}{2}\sum_{k=0}^{n-1} \binom{n-1}{j} B_{n+j}(1/2) \frac{1}{n+j} =4^{-n}-\frac{1}{2n\binom{2n}{n}}$

Published on 10 Jan 2022 - 23:07

Closed formula for variation of Fourier series of Bernoulli polynomials

Published on 20 Apr 2022 - 22:19

Approximation of Dirichlet Series over Bernoulli Polynomials

Published on 30 Jun 2022 - 15:10

Why is $B_{2n}(\frac12+ix)\in\mathbb R$ whenever $x\in\mathbb R$?

Published on 30 Jun 2022 - 19:21

Euler Numbers and Bernoulli Numbers

Published on 09 Jul 2022 - 10:31

Prove a Bernoulli polynomial equation: $B_s(x+y)=\sum_{j=0}^s \binom{s}{j} B_{j}(x)\cdot y^{s-j}$

Published on 13 Jul 2022 - 23:49

$n$-th derivative of $1/(e^x - 1)$ (related with Bernoulli numbers)

Published on 02 Nov 2022 - 21:52

The operator $\frac{D}{e^D-1}$ in definition of Bernoulli polynomials

Published on 22 Dec 2022 - 19:51