Definition:Sine Integral Function

From ProofWiki
Jump to: navigation, search

Definition

The sine integral function is the real function defined as:

$\Si: \R \to \R$:
$\Si \paren x = \begin{cases} \displaystyle \int_{t \mathop \to 0}^{t \mathop = x} \frac {\sin t} t \rd t & : x \ne 0 \\ \vphantom x \\ 0 & : x = 0 \\ \end{cases}$


Graph

SiFunction.png


Also see

  • Results about the sine integral function can be found here.


Sources