How to calculate Lévy random number

The calculation process of the Lévy distribution is: enter image description here Among them, l is a Lévy random number, which obeys Lévy distribution; u, v obey the standard normal distribution; β is a constant, the value is 0<β<2. The calculation formula of enter image description hereis as follows: enter image description here Among them: enter image description hereis the Gamma function. I want to calculate enter image description here，but I don’t know how to calculate enter image description here And how to take the value of u and v ，How should this enter image description here be calculated?