Reciprocal of gamma function: Difference between revisions
(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...) |
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<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 | 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.