11. Also, generating the generating function is very easy, you just iterate this process. 12. We say that the discrete random variable Y satisfying probability generating function characterization 13. "It's not just PCs-- cars now have more chip-generated functions ." 14. Probability generating functions obey all the rules of power series with non-negative coefficients. 15. All higher characteristic function and moment generating function are both equal to one. 16. More concretely, their generating functions are equal after an appropriate change of variables. 17. The generating function given above for is a special case of this formula. 18. This can be seen by comparing the generating function of the Hermite polynomials 19. We define that any discrete random variable Y satisfying probability generating function characterization 20. One of the most well-known of these, the generating function for Legendre polynomials,
