Abstract
The paper is concerned with methods for calculation of the Hadamard product of rational functions and applications of Hadamard products to probabilistic problems. Explicit formulas for the Hadamard products of rational functions are given in the form of the ratio of determinants of matrices whose entries depend on the coefficients of the numerator and denominator of fractions defining these functions. An application to calculation of distributions of statistics relating to oscillating random walks with integer steps is considered.
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