Proves that for nu > -1/2 and 0 < gamma < 1 the integral from 0 to x of e^{-gamma t} I_nu(t) t^{-nu} dt is bounded by C times e^{-gamma x} I_{nu+1}(x) x^{-nu} uniformly in x > 0, resolving Gaunt's 2019 open problem with an explicit constant.
Computation of modified Bessel functions and their ratios
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Weighted Uniform Endpoint Majorants for Integrals Involving Modified Bessel Functions
Proves that for nu > -1/2 and 0 < gamma < 1 the integral from 0 to x of e^{-gamma t} I_nu(t) t^{-nu} dt is bounded by C times e^{-gamma x} I_{nu+1}(x) x^{-nu} uniformly in x > 0, resolving Gaunt's 2019 open problem with an explicit constant.