Example: Dirac Delta (Unit Impulse) and LambertW Functions
This example provides information about the Dirac delta function and the LambertW function properties.
The Dirac Delta Function
The Dirac delta function delta has the following properties:
The following transforms return results in terms of Dirac delta:
In the above example, Φ is the Heaviside step function.
The LambertW Function
The LambertW function appears in the symbolic solution of the following equations:
These are the integral, the derivative, and the Taylor series expansion of the LambertW function: