maxframe.tensor.special.gammaincinv#

maxframe.tensor.special.gammaincinv(a, y, out=None)[source]#

Inverse to the regularized lower incomplete gamma function.

Given an input \(y\) between 0 and 1, returns \(x\) such that \(y = P(a, x)\). Here \(P\) is the regularized lower incomplete gamma function; see gammainc. This is well-defined because the lower incomplete gamma function is monotonic as can be seen from its definition in [dlmf].

Parameters:
  • a (array_like) – Positive parameter

  • y (array_like) – Parameter between 0 and 1, inclusive

  • out (ndarray, optional) – Optional output array for the function values

Returns:

Values of the inverse of the lower incomplete gamma function

Return type:

scalar or ndarray

See also

gammainc

regularized lower incomplete gamma function

gammaincc

regularized upper incomplete gamma function

gammainccinv

inverse of the regularized upper incomplete gamma function

References

[dlmf]

NIST Digital Library of Mathematical Functions https://dlmf.nist.gov/8.2#E4