On the roots of 𝑓(𝑧)=𝐽₀(𝑧)-𝑖𝐽₁(𝑧)

  • Synolakis C
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Abstract

The function f ( z ) = J 0 ( z ) βˆ’ i J 1 ( z ) 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 ( z ) f\left ( z \right ) has no zeroes in the upper half plane.

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APA

Synolakis, C. E. (1988). On the roots of 𝑓(𝑧)=𝐽₀(𝑧)-𝑖𝐽₁(𝑧). Quarterly of Applied Mathematics, 46(1), 105–107. https://doi.org/10.1090/qam/934685

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