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BUILT-IN MATHEMATICA SYMBOL

InverseGammaRegularized

gives the inverse of the regularized incomplete gamma function.

With the regularized incomplete gamma function defined by , InverseGammaRegularized is the solution for in .

Note that the arguments of InverseGammaRegularized are arranged differently than in InverseBetaRegularized.

For certain special arguments, InverseGammaRegularized automatically evaluates to exact values.

Evaluate numerically:

Out[1]=

Out[1]=

Exact results for special arguments:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

InverseGammaRegularized threads element-wise over lists:

Evaluate the 3-argument generalized case:

Model the PDF of the gamma distribution through uniformly distributed random numbers:

Compare binned modeled distribution with exact distribution:

Solve a transcendental equation:

InverseGammaRegularized evaluates numerically only for