XLeratorDB/statistics Documentation
	
	
	
    
    
        
    
    
        
Updated: 30 May 2017
Use the SQL Server scalar function GAMMA to calculate Γ(z). The GAMMA function can be defined as a definite integral for R[z] > 0.
 
Syntax
SELECT [wct].[GAMMA] (
   <@Z, float,>)
 
Arguments
    | Input Name | Definition | 
    | @z | The value of interest | 
Return Type
Remarks
Examples
Example #1
SELECT wct.GAMMA(2.5) as Gamma
 
This produces the following result.
Example #2
SELECT wct.GAMMA(-3.75) as Gamma
 
This produces the following result.
Example #3
The following SQL can be run using the SeriesFloat function to create GAMMA values from -4 to 4 which can then be pasted into Excel and graphed. 
SELECT
    z,
    wct.GAMMA(z) as Gamma
FROM (
    SELECT
        SeriesValue as z
    FROM
        wct.SeriesFloat(-4,4,0.01,NULL,NULL)
    )n
 
This produces the following result.
 
 
See Also