Note on the roots of 𝑓(𝑧)=𝐽₀(𝑧)-𝑖𝐽₁(𝑧)

Rawlins, A. D.

doi:10.1090/qam/998105

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

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

Author: A. D. Rawlins
Journal: Quart. Appl. Math. 47 (1989), 323-324
MSC: Primary 33A40
DOI: https://doi.org/10.1090/qam/998105
MathSciNet review: 998105
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Abstract | References | Similar Articles | Additional Information

Abstract: An elementary proof is given which shows that $f\left ( z \right )$ has no zeros in the upper half plane.

Costas Emmanuel Synolakis, On the roots of $f(z)=J_0(z)-iJ_1(z)$, Quart. Appl. Math. 46 (1988), no. 1, 105–107. MR 934685, DOI https://doi.org/10.1090/S0033-569X-1988-0934685-0

A. Erdelyi, Bateman manuscript project. Higher transcendental functions, Vol. II, New York, McGraw-Hill, 1953