Fungrim home page

Fungrim entry: 829185

Bn ⁣(1)=(−1)nBnB_{n}\!\left(1\right) = {\left(-1\right)}^{n} B_{n}
Assumptions:n∈Z≥0n \in \mathbb{Z}_{\ge 0}
TeX:
B_{n}\!\left(1\right) = {\left(-1\right)}^{n} B_{n}

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
BernoulliPolynomialBn ⁣(z)B_{n}\!\left(z\right) Bernoulli polynomial
Powab{a}^{b} Power
BernoulliBBnB_{n} Bernoulli number
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("829185"),
    Formula(Equal(BernoulliPolynomial(n, 1), Mul(Pow(-1, n), BernoulliB(n)))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(0))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC