Sinc function: Difference between revisions
(New page: {{particular entire function}} ==Definition== The '''sinc function''' is defined in the following equivalent ways: * It is given by the power series: <math>\sinc z := \sum_{n=0}^\infty...) |
No edit summary |
||
| Line 7: | Line 7: | ||
* It is given by the power series: | * It is given by the power series: | ||
<math>\sinc z := \sum_{n=0}^\infty (-1)^n \frac{z^{2n}}{(2n + 1)!}</math> | <math>\operatorname{sinc} z := \sum_{n=0}^\infty (-1)^n \frac{z^{2n}}{(2n + 1)!}</math> | ||
* It is defined as: | * It is defined as: | ||
Revision as of 21:28, 27 April 2008
This article is about a particular entire function: a holomorphic function defined on the whole of
View a complete list of entire functions
Definition
The sinc function is defined in the following equivalent ways:
- It is given by the power series:
- It is defined as:
Failed to parse (unknown function "\sinc"): {\displaystyle \sinc z := \frac{\sin z}{z}, \ z \ne 0, qquad \sinc 0 = 1}
- It is the difference quotient of the sine function, relative to the origin.
Related functions
- Its antiderivative is the sine integral, denoted
