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Accurate computation of the zeros of the generalized Bessel polynomials. (English) Zbl 0965.65045
An algorithm based on Newton’s method is given for simultaneously computing the zeros of the generalized Bessel polynomials. A comparison is made with alternative algorithms. Several properties of the zeros are mentioned, some of these are quoted from the literature, and some proofs of the literature are restated. Several graphs are given showing the location of the zeros along curves in the complex plane, for rather large values of the degree (up to $n=400$).

##### MSC:
 65D20 Computation of special functions, construction of tables 33C10 Bessel and Airy functions, cylinder functions, ${}_0F_1$ 65H05 Single nonlinear equations (numerical methods) 12D10 Algebraic theorems of location of zeros of polynomials over R or C
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