Publication
Title
On the zeros of $J_{n}(z)\pm iJ_{n+1}(z)$ and $[J_{n+1}(z)]^{2}-J_{n}(z)J_{n+2}(z)$
Author
Abstract
 The zeros of Jn(z) ± i Jn+1(z) and [Jn+1(z)]2 − Jn(z)Jn+2(z) play an important role in certain physical applications.At the origin these functions have a zero of multiplicity n (if n¿1) and 2n+2, respectively.We prove that all the zeros that lie in C0 are simple. ZEBEC (Kravanja et al., Comput.Phys.Commun.113(23) (1998) 220238) is a reliable software package for calculating zeros of Bessel functions of the :rst, the second, or the third kind, or their :rst derivatives.It can be easily extended to calculate zeros of any analytic function, provided that the zeros are known to be simple.Thus, ZEBEC is the package of choice to calculate the zeros of Jn(z)±i Jn+1(z) or [Jn+1(z)]2−Jn(z)Jn+2(z).We tabulate the :rst 30 zeros of J5(z) − i J6(z) and J10(z) − i J11(z) that lie in the fourth quadrant as computed by ZEBEC.
Language
English
Source (journal)
Journal of computational and applied mathematics. - Antwerp
Publication
Antwerp : 2001
ISSN
0377-0427
Volume/pages
132:2(2001), p. 237-245
ISI
000169651500002
Full text (Publishers DOI)
Full text (publishers version - intranet only)
UAntwerpen
 Faculty/Department Research group Publication type Subject