Inequalities and monotonicity results for zeros of modified Bessel functions of purely imaginary order
نویسندگان
چکیده
منابع مشابه
Bounds for the small real and purely imaginary zeros of Bessel and related functions
We give two distinct approaches to finding bounds, as functions of the order ν, for the smallest real or purely imaginary zero of Bessel and some related functions. One approach is based on an old method due to Euler, Rayleigh, and others for evaluating the real zeros of the Bessel function Jν(x) when ν > −1. Here, among other things, we extend this method to get bounds for the two purely imagi...
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Fortran 77 programs for the computation of modified Bessel functions of purely imaginary order are presented. The codes compute the functions Kia(x), Lia(x) and their derivatives for real a and positive x; these functions are independent solutions of the differential equation xw+xw+ (a−x)w = 0. The code also computes exponentially scaled functions. The range of computation is (x, a) ∈ (0, 1500]...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1986
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/840446