Explore the calculation of bilinear generating functions for Laguerre and Hermite polynomials, including mixed products. Discover the importance of infinite sums and operator disentanglement ...

Random math patterns Generating a random pattern with math functions In this exercise a grid of squares of a random size is painted. Each square is colored based on the result of a math function (any ...

Principles of Applied Mathematics - Generating Function Notes 18.310 by Daniel Kleitman;Peter Shor Publication date 38353 Topics Maths, Mathematics Publisher Flooved.com on behalf of the author ...

In the random walk whose state space is a subset of the non-negative integers explicit representations for the generating functions of the n-step transition and the first return probabilities are ...

The bilinear generating function for products of two Laguerre 2D polynomials with different arguments is calculated. It corresponds to the formula of Mehler for the generating function of products of ...

Kyounghee Kim, Moment Generating Function of the Reciprocal of an Integral of Geometric Brownian Motion, Proceedings of the American Mathematical Society, Vol. 132, No. 9 (Sep., 2004), pp. 2753-2759 ...

One of the advantages of our theory compared to the above mathematical theory is understandably the probability generating function (PGF) approach, because the PGF is a major analytical tool for ...