Difference between revisions of "Bernoulli numbers"

From specialfunctionswiki
Jump to: navigation, search
(Created page with "The Bernoulli numbers are the numbers $B_n$ in the following formula: $$\dfrac{z}{e^z-1} = \displaystyle\sum_{k=0}^{\infty} B_k \dfrac{z^k}{k!}.$$ The Bernoulli numbers are in...")
 
Line 1: Line 1:
 
The Bernoulli numbers are the numbers $B_n$ in the following formula:
 
The Bernoulli numbers are the numbers $B_n$ in the following formula:
 
$$\dfrac{z}{e^z-1} = \displaystyle\sum_{k=0}^{\infty} B_k \dfrac{z^k}{k!}.$$
 
$$\dfrac{z}{e^z-1} = \displaystyle\sum_{k=0}^{\infty} B_k \dfrac{z^k}{k!}.$$
The Bernoulli numbers are intimately related to the [[Bernoulli polynomial|Bernoulli polynomials]].
+
 
 +
=See Also=
 +
[[Bernoulli polynomial|Bernoulli polynomials]]

Revision as of 10:17, 30 December 2015

The Bernoulli numbers are the numbers $B_n$ in the following formula: $$\dfrac{z}{e^z-1} = \displaystyle\sum_{k=0}^{\infty} B_k \dfrac{z^k}{k!}.$$

See Also

Bernoulli polynomials