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arXiv:math/0607694math.CA

Inequalities related to the error function

Omran Kouba

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Abstract

In this note we consider inequalities involving the error function $φ$. Our methodes give new proofs of some known inequalities of Komatsu, and of Szarek and Werner, and also produce two families of inequalities that give upper and lower bounds for $φ$. Moreover the continued fractions expansion of $φ$ is obtained.

arXiv comments
12 pages
Journal reference
DOI
Subjects
math.CAClassical Analysis and ODEs math.PRProbability

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