mars.tensor.special.gammainccinv

mars.tensor.special.gammainccinv(a, b, **kwargs)

Inverse of the upper incomplete gamma function with respect to x

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

Parameters

• a (array_like) – Positive parameter

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

Returns

Values of the inverse of the upper incomplete gamma function

Return type

scalar or ndarray

See also

gammaincc

regularized upper incomplete gamma function

gammainc

regularized lower incomplete gamma function

gammaincinv

inverse of the regularized lower incomplete gamma function with respect to x

References

dlmf

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

mars.tensor.special.gammaincc mars.tensor.special.beta