Editing Incomplete gamma function (section)

{{Short description|Types of special mathematical functions}}
{{Use dmy dates|date=December 2023}}
[[File:Upper incomplete gamma function.jpg|thumb|300x300px|The upper incomplete gamma function for some values of s: 0 (blue), 1 (red), 2 (green), 3 (orange), 4 (purple).]]
[[File:Plot of the regularized incomplete gamma function Q(2,z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg|alt=Plot of the regularized incomplete gamma function Q(2,z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D|thumb|Plot of the regularized incomplete gamma function Q(2,z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D]]
In [[mathematics]], the '''upper''' and '''lower incomplete gamma functions''' are types of [[special functions]] which arise as solutions to various mathematical problems such as certain [[integral]]s.

Their respective names stem from their integral definitions, which are defined similarly to the [[gamma function]] but with different or "incomplete" integral limits. The gamma function is defined as an integral from zero to infinity. This contrasts with the lower incomplete gamma function, which is defined as an integral from zero to a variable upper limit. Similarly, the upper incomplete gamma function is defined as an integral from a variable lower limit to infinity.