| f(t) | F(s) = L{f(t)} | Región de Convergencia |
|---|---|---|
| 1 | 1/s | Re(s) > 0 |
| t | 1/s² | Re(s) > 0 |
| t^n | n!/s^(n+1) | Re(s) > 0 |
| e^(at) | 1/(s-a) | Re(s) > a |
| sin(ωt) | ω/(s²+ω²) | Re(s) > 0 |
| cos(ωt) | s/(s²+ω²) | Re(s) > 0 |
| e^(at)sin(ωt) | ω/((s-a)²+ω²) | Re(s) > a |
| e^(at)cos(ωt) | (s-a)/((s-a)²+ω²) | Re(s) > a |
| t·e^(at) | 1/(s-a)² | Re(s) > a |
| sinh(at) | a/(s²-a²) | Re(s) > |a| |
| cosh(at) | s/(s²-a²) | Re(s) > |a| |
| δ(t) | 1 | Toda s |
| u(t) | 1/s | Re(s) > 0 |