A function related to the central limit theorem
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 765-775
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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 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.
@article{CMUC_1998_39_4_a11,
author = {Bracken, Paul},
title = {A function related to the central limit theorem},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {765--775},
year = {1998},
volume = {39},
number = {4},
mrnumber = {1715465},
zbl = {1059.33500},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_4_a11/}
}
Bracken, Paul. A function related to the central limit theorem. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 765-775. http://geodesic.mathdoc.fr/item/CMUC_1998_39_4_a11/