Reciprocal of gamma function: Difference between revisions

From Companal
(New page: {{particular entire function}} ==Definition== ===As the reciprocal of the gamma function=== It is defined as: <math>z \mapsto \frac{1}{\Gamma(z)}</math> if <math>z</math> is ''not'' a...)
 
No edit summary
Line 9: Line 9:
<math>z \mapsto \frac{1}{\Gamma(z)}</math>
<math>z \mapsto \frac{1}{\Gamma(z)}</math>


if <math>z</math> is ''not'' a simple pole of the gamma function. If <math>z</math> is a simple pole, it sends <math>z</math> to the residue at <math>z</math>.
if <math>z</math> is ''not'' a simple pole of the gamma function. If <math>z</math> is a simple pole, it sends <math>z</math> to 0.

Revision as of 20:15, 1 May 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

As the reciprocal of the gamma function

It is defined as:

if is not a simple pole of the gamma function. If is a simple pole, it sends to 0.