Differences

This shows you the differences between two versions of the page.

Link to this comparison view

bernoulli_number [2014/03/21 11:11] (current)
Line 1: Line 1:
 +===== Bernoulli numbers =====
 +==== Function ====
 +| @#FFBB00: definiendum | @#FFBB00: $B:\mathbb N\to\mathbb Q$ |
  
 +| @#FFFDDD: for all     | @#FFFDDD: $z\in \mathbb C$ |
 +
 +| @#55EE55: postulate ​  | @#55EE55: $\frac{z}{\mathrm{e}^z-1}=\sum_{k=0}^\infty B_k\frac{1}{k!}z^k$ |
 +
 +==== Discussion ====
 +=== Examples ===
 +$B_0=1$
 +
 +$B_1=-\tfrac{1}{2}$
 +
 +$B_2=\frac{1}{6}$
 +
 +$B_4=-\frac{1}{30}$
 +
 +$B_6=-\frac{1}{42}$
 +==== Parents ====
 +=== Subset of ===
 +[[Infinite series]], [[ℚ valued function]]
Link to graph
Log In
Improvements of the human condition