CGamma
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Function Description
Returns  ,
the value of the gamma function evaluated for a complex number,
,
the value of the gamma function evaluated for a complex number,  . The gamma
function,
. The gamma
function,  is
defined as:
 is
defined as:
 

 
It can thought of as an extension of the factorial function,
but offset by one, since it satisfies the following recurrence relationship:  .
.
 
The Nematrian website calculates this value using a Lanczos approximation
and a reflection formula, see MnGamma.
 
For details of how to pass complex numbers to and from the
Nematrian website and on principal values of complex-valued functions please
see Complex Numbers
Introduction.
 
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