mrpy.base.special.G1

mrpy.base.special.G1(z, x)

The Meijer-G function with specific arguments: meijerg([[], [1, 1]], [[0, 0, z], []], x), normalised by the incomplete gamma function with arguments z,x.

Either z or x can be array_like.

Notes

This quantity arises in the derivative of the natural log of the incomplete gamma function.

\[\frac{d}{dz} \ln \Gamma(z,x) = G1(z,x) + \ln x\]