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The differential equation satisfied by this function was generalized by Karl Pearson.t Gram,+ Charlier,? and Bruns|| used the normal function and its successive derivatives, with constant coefficients, to form a series, of which, in practice, only a few terms are used. Jorgensen? developed a logarithmic transformation, in which x is replaced by log x. Associated with the Law of Small Numbers is the Poisson exponential function e--A AX/x! for which Bortkiewicz** gave a four-place table, and Sopertt a six-place table. The Charlier4
Edward L. Dodd (Mon,) studied this question.