Function reference · Special functions
gamma_incomplete_lower
Computes the lower incomplete gamma function.
gamma_incomplete_lower(a,z) represents γ(a,z). Positive integer values of a use γ(a,z)=Γ(a)-Γ(a,z); other inputs remain symbolic.
Examples
These examples use Nerdamer Notation.
Use the simplest lower incomplete gamma case.
gamma_incomplete_lower(1,x)
// → 1-e^(-x)Show the exact complement of the upper incomplete gamma result for a=3.
gamma_incomplete_lower(3,x)
// → 2-2*e^(-x)*(1+x+(1/2)*x^2)Expand the lower incomplete gamma function for a=4.
gamma_incomplete_lower(4,x)
// → 6-6*e^(-x)*(1+x+(1/2)*x^2+(1/6)*x^3)Interfaces
The same operation is available through the interfaces below.
Nerdamer Notation
Use this form inside input passed to nerdamer(...).
gamma_incomplete_lower(arg1, arg2)nerdamer.gamma_incomplete_lower
Call the operation through the default nerdamer import.
nerdamer.gamma_incomplete_lower(a: ExpressionInput, z: ExpressionInput): ExpressionParameters
| Name | Type | Description |
|---|---|---|
a | ExpressionInput | — |
z | ExpressionInput | — |