Title On the zeros of $J_{n}(z)\pm iJ_{n+1}(z)$ and $[J_{n+1}(z)]^{2}-J_{n}(z)J_{n+2}(z)$ 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 Kravanja, Peter Verlinden, Pierre Faculty/Department Faculty of Social Sciences. Communication Sciences Publication type article Publication 2001 Antwerp , 2001 Subject Computer. Automation Source (journal) Journal of computational and applied mathematics. - Antwerp Volume/pages 132(2001) :2 , p. 237-245 ISSN 0377-0427 ISI 000169651500002 Carrier E Target language English (eng) Full text (Publishers DOI) 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. E-info https://repository.uantwerpen.be/docman/iruaauth/177b88/f4bbd3aaff8.pdf http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000169651500002&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000169651500002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000169651500002&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 Handle