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- W1965456034 abstract "An asymptotic formula for the exponential polynomials, Am(x) defined by Σm=0∞Am(x)zm|=exp{x[g(z)−g(0)]} for some (formal) power series g(z), is derived under certain conditions on g(z). Using this formula, the asymptotic normality of the combinatorial distribution p(n; m, λ) = A(m, n)λnAm(λ), n = 0, 1, 2, …, m, 0 < a <λ <b, Am (λ) = ∑n=0m A(m, n)λn, is established. As a special case, the asymptotic normality of a class of combinatorial distributions, where the coefficients A(m, n) satisfy a certain triangular recurrence relation, is concluded." @default.
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- W1965456034 date "1985-05-01" @default.
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- W1965456034 title "An asymptotic formula for the exponential polynomials and a central limit theorem for their coefficients" @default.
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- W1965456034 doi "https://doi.org/10.1016/0012-365x(85)90110-4" @default.
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