Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Roots of $ J_0(z)-iJ_1(z)=0$ as saddle points of the reduced logarithmic derivative of $ J_0(z)$

Authors: Julio Abad and Javier Sesma
Journal: Quart. Appl. Math. 49 (1991), 495-496
MSC: Primary 33C10
DOI: https://doi.org/10.1090/qam/1121681
MathSciNet review: MR1121681
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The roots of $ {J_0}\left( z \right) - i{J_1}\left( z \right) = 0$ are saddle points of the function $ {F_0}\left( z \right) \equiv \\ z{J'_0}\left( z \right)/{J_0}\left( z \right)$. A very efficient algorithm allows one to obtain, by iteration, those roots to the desired accuracy.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 33C10

Retrieve articles in all journals with MSC: 33C10

Additional Information

DOI: https://doi.org/10.1090/qam/1121681
Article copyright: © Copyright 1991 American Mathematical Society

American Mathematical Society