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Evaluating the Probability Integral Using Wallis's Product Formula for π.

Authors :
Levrie, Paul
Daems, Walter
Source :
American Mathematical Monthly. Jun/Jul2009, Vol. 116 Issue 6, p538-541. 4p.
Publication Year :
2009

Abstract

The article discusses the evaluation of the probability integral using the product formula for π of mathematician John Wallis. It explores the standard one-variable calculus method for evaluating the probability integral and functions using the approximation theory. It states that to approximate the integrand in the probability integral can yield a simpler evaluation of integrals. It proves that calculating the limits of the expression can be done using the Wallis product formula for π.

Details

Language :
English
ISSN :
00029890
Volume :
116
Issue :
6
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
42224529
Full Text :
https://doi.org/10.1080/00029890.2009.11920970