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arxiv: 1309.4309 · v4 · pith:3YZV5NKWnew · submitted 2013-09-17 · 🧮 math.CA

Uniform bounds for expressions involving modified Bessel functions

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keywords boundsexpressionsuniformbesselfunctionsmodifiedapproximationsbound
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In this paper, we obtain uniform bounds for a number of expressions that involve derivatives and integrals of modified Bessel functions. These uniform bounds are motivated by the need to bound such expressions in the study of variance-gamma and product normal approximations via Stein's method.

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