Munich Personal RePEc Archive

On a Functional Equation for the Generating Function of the Logarithmic Series Distribution

Panaretos, John (1987): On a Functional Equation for the Generating Function of the Logarithmic Series Distribution. Published in: Revue Roumaine de Mathematiques Pures et Appliquees , Vol. 32, No. 4 (1987): pp. 365-367.

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Abstract

This note deals with finding the solution of a functional equation, where the function involved has the additional property of being a probability generating function. It turns out that the unique solution of this particular functional equation is the probability generating function of the logarithmic series distribution

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