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Asymptotic Expansions for the Coefficients of eP(z)
Journal article

Asymptotic Expansions for the Coefficients of eP(z)

Eric Schmutz
The Bulletin of the London Mathematical Society, v 21(5), pp 482-486
Sep 1989

Abstract

If P is a real polynomial with non‐negative coefficients, then one can obtain a complete asymptotic expansion for the nth coefficient of eP(z). The proof requires the following result: the coefficients in the Stirling expansion for the gamma function are all different from zero.

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