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A function related to the central limit theorem

Paul Bracken (1998)

Commentationes Mathematicae Universitatis Carolinae

A number of properties of a function which originally appeared in a problem proposed by Ramanujan are presented. Several equivalent representations of the function are derived. These can be used to evaluate the function. A new derivation of an expansion in inverse powers of the argument of the function is obtained, as well as rational expressions for higher order coefficients.

A generalization of Lerch’s formula

Nobushige Kurokawa, Masato Wakayama (2004)

Czechoslovak Mathematical Journal

We give higher-power generalizations of the classical Lerch formula for the gamma function.

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