
doi: 10.1002/cnm.776
AbstractAlgorithms for computing the logarithm of Bessel functions of complex argument and integer order are presented. These algorithms will be useful when direct evaluation of the Bessel function causes computer overflow or underflow. Several numerical results are presented, and an example of radiation by a line source is given. Copyright © 2005 John Wiley & Sons, Ltd.
boundary value problems, eigenvalues, eigenfunctions, numerical results, algorithms, logarithm of Bessel functions, Computation of special functions and constants, construction of tables, electromagnetic scattering, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Numerical approximation and evaluation of special functions, Diffraction, scattering
boundary value problems, eigenvalues, eigenfunctions, numerical results, algorithms, logarithm of Bessel functions, Computation of special functions and constants, construction of tables, electromagnetic scattering, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Numerical approximation and evaluation of special functions, Diffraction, scattering
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