# A function related to the central limit theorem

Commentationes Mathematicae Universitatis Carolinae (1998)

- Volume: 39, Issue: 4, page 765-775
- ISSN: 0010-2628

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topBracken, Paul. "A function related to the central limit theorem." Commentationes Mathematicae Universitatis Carolinae 39.4 (1998): 765-775. <http://eudml.org/doc/248258>.

@article{Bracken1998,

abstract = {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.},

author = {Bracken, Paul},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {series; Ramanujan; Ramanujan function},

language = {eng},

number = {4},

pages = {765-775},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A function related to the central limit theorem},

url = {http://eudml.org/doc/248258},

volume = {39},

year = {1998},

}

TY - JOUR

AU - Bracken, Paul

TI - A function related to the central limit theorem

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1998

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 39

IS - 4

SP - 765

EP - 775

AB - 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.

LA - eng

KW - series; Ramanujan; Ramanujan function

UR - http://eudml.org/doc/248258

ER -

## References

top- Ramanujan S., Question 294, J. Indian Math. Soc. 3 , 128 (1911). (1911)
- Ramanujan S., On Question 294, J. Indian Math. Soc. 4 , 151 (1912). (1912)
- Berndt B.C., Ramanujan's Notebooks, Vol II, Springer, 1985. Zbl0944.01005MR0781125
- Bowman K.O., Shenton L.R., Szekeres G., [unknown], J. Stat. Comput. Siml. 20 , 167 (1984). (1984)
- Copson E.T., An Introduction to the Theory of Functions of a Complex Variable, Clarendon Press, Oxford, 1970. Zbl0188.37901

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