AngouriMath
Navigation
← Back to list of members
IncompleteGammaBesideAPower(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
int P Gamma(n, u) dx for the upper incomplete gamma function of a linear
u = a + b x with n free of x, where P is a polynomial in
x, or, without an offset a, a power (d x)^m for any m but -1.
By parts against an antiderivative Q of P: the derivative of
Gamma(n, u) is -b u^(n - 1) e^(-u), and with Q written in powers of
u, each u^k lands on u^(n + k - 1) e^(-u), the derivative in u of -Gamma(n + k, u). Rubi's 8.6.
https://github.com/asc-community/AngouriMath/issues/2075
Angouri © 2019-2026 ·
Project's repo ·
Site's repo ·
Octicons ·
Transparency ·
4970 pages online