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 ...

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo, MULTIPLICATIVE RENORMALIZATION AND GENERATING FUNCTIONS I, Taiwanese Journal of Mathematics, Vol. 7, No. 1 (March 2003), pp. 89-101 ...

SAS/IML software has many built-in functions that generate useful matrices. For example, the J function creates a matrix with a given dimension and element value when you supply the number of rows and ...