Difference between revisions of "Bernoulli numbers"
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| − | The Bernoulli numbers are the numbers $B_n$ in the following formula: | + | The Bernoulli numbers are the numbers $B_n$ in the following formula $z<2\pi$: |
$$\dfrac{z}{e^z-1} = \displaystyle\sum_{k=0}^{\infty} B_k \dfrac{z^k}{k!}.$$ | $$\dfrac{z}{e^z-1} = \displaystyle\sum_{k=0}^{\infty} B_k \dfrac{z^k}{k!}.$$ | ||
=See Also= | =See Also= | ||
[[Bernoulli polynomial|Bernoulli polynomials]] | [[Bernoulli polynomial|Bernoulli polynomials]] | ||
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| + | =References= | ||
| + | * {{BookReference|Higher Transcendental Functions Volume I|1953|Arthur Erdélyi|author2=Wilhelm Magnus|author3=Fritz Oberhettinger|author4=Francesco G. Tricomi|prev=Gamma function written as infinite product|next=Euler-Mascheroni constant}}: §1.13 (1) | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Latest revision as of 23:23, 3 March 2018
The Bernoulli numbers are the numbers $B_n$ in the following formula $z<2\pi$: $$\dfrac{z}{e^z-1} = \displaystyle\sum_{k=0}^{\infty} B_k \dfrac{z^k}{k!}.$$
See Also
References
- 1953: Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger and Francesco G. Tricomi: Higher Transcendental Functions Volume I ... (previous) ... (next): §1.13 (1)
