Inequalities for the modified Bessel function of first kind of non-negative order

Abstract

Let Iν(x) be the modified Bessel function of order ν with real argument x. We present explicit error bounds for the asymptotic expansion of Iν(x) with x≥1. Two cases, ν an integer and ν a half-integer are considered separately. In addition, we present a short discussion on the error analysis for Iν(x) where ν is any non-negative real number.