Abstract
The function [Formula: see text] is studied. By employing uniform asymptotic approximations for Bessel functions, as well as Nicholson's integral for [Formula: see text] and a related integral, uniform asymptotic approximations for Mν(x) are obtained for x → ∞, which taken together are uniformly valid for -∞ < ν < ∞. From these approximations, it follows that Mν(x) is a slowly varying function of ν for large x, a result which has ramifications in a certain quasi non-uniqueness in the scattered field of a dielectric circular cylinder.
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