Comparative study on the computational modeling and application of the classes of A, B, C numbers

The classes A1, B1, C1 and A2, B2, C2 of positive real numbers are defined by means of the positive purely imaginary zeros of a complex Kummer confluent hypergeometric function and of a complex function, composed of two Kummer and two Tricomi confluent ones, resp. of specially selected parameters. Based on numerical examples, methods for computational modeling of these quantities, are presented. The comparison between them reveals that finding the values of elements of the second group is much more complicated. Their slighter dependence on certain parameters, however, allows to get better results in employing a definite scheme for approximate calculation of the differential phase shift, raised by the coaxial ferrite waveguide with azimuthal magnetization for the normal TE0n modes than when the same procedure, harnessing the first set of numbers, is applied to a circular configuration, filled in by the medium mentioned.