The Nakagami distribution  is defined by
where is a shape parameter, and controls the spread of the distribution. The distribution has a mean value defined by
and a mean square value defined by
resulting in a variance
The cumulative distribution function can be defined by the expression
Making the substitution of variable, , we obtain the expression
From [97, 3.381 (1)] we obtain
the incomplete gamma function. Numerical solutions for this expression can be obtained using a series expression of or selected according to which will give the fastest convergence [98, chapter 6].