Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



On the roots of $ f(z)=J_0(z)-iJ_1(z)$

Author: Costas Emmanuel Synolakis
Journal: Quart. Appl. Math. 46 (1988), 105-107
MSC: Primary 33A40
DOI: https://doi.org/10.1090/qam/934685
MathSciNet review: 934685
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Abstract: The function $ f\left( z \right) = {J_0}\left( z \right) - i{J_1}\left( z \right)$ is examined to determine its behavior in the complex plane. It is shown that $ f\left( z \right)$ has no zeroes in the upper half plane.

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DOI: https://doi.org/10.1090/qam/934685
Article copyright: © Copyright 1988 American Mathematical Society

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