BETA Function

Returns the value of the beta function.

Category: Mathematical
Returned data type: DOUBLE
Syntax
Arguments
Details
Example
See Also

Syntax

BETA(a, b)

Arguments

a

is the first shape parameter.

Range a >0
Data type DOUBLE

b

is the second shape parameter.

Range b >0
Data type DOUBLE

Details

The BETA function is mathematically given by this equation:
table with 1 row and 1 column , row1 column 1 , beta . open eh comma b close . equals , integral , from , 0 , to , 1 , of , x . table with 2 rows and 1 column , row1 column 1 , eh minus 1 , end table . open 1 minus x close . table with 2 rows and 1 column , row1 column 1 , b minus 1 , end table . d x , end table
Note the following:
table with 1 row and 1 column , row1 column 1 , beta . open eh comma b close . equals . fraction cap gamma , open eh close , cap gamma , open b close , over cap gamma . open eh plus b close end fraction , end table
In the previous equation, cap gamma , open . close is the gamma function.
If the expression cannot be computed, BETA returns a missing value.

Example

The following statements illustrate the BETA function:
Statements
Results 
select beta(5,3);
 
0.00952380952381
 
select beta(15,45);
 
1.6710294365E-15

See Also

Functions:
LOGBETA Function
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