Globally convergent algorithm to find the zeros of the cross-product of Bessel functions

This paper shows the construction of an algorithm to calculate the roots of both, the cross-product of Bessel functions respectively of their first derivatives. The algorithm has shown globally convergent behavior for a large range of values of the argument and of the order of the Bessel functions with the desired accuracy to machine precision.

Published in:
Proceedings of the 2011 International Conference on Electromagnetics in Advanced Applications, 291-294
Presented at:
ICEAA-IEEE APWC 2011, International Conference on Electromagnetics in Advanced Applications - IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, Torino, Italy, September 12-17, 2011
Year:
2011
ISBN:
978-1-61284-976-8
Keywords:
Laboratories: