We consider positive powers of a rational generating function F(x, z) of the variable z whose numerator has degree at most 1, denominator has degree 2, and where coefficients are functions of x. Many ...

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 ...

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 ...

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