On the roots of π(π§)=π½β(π§)-ππ½β(π§)
Open Access
- 1 March 1988
- journal article
- Published byΒ American Mathematical Society (AMS)Β inΒ Quarterly of Applied Mathematics
- Vol.Β 46 Β (1) , 105-107
- https://doi.org/10.1090/qam/934685
Abstract
The function f ( z ) = J 0 ( z ) β 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.Keywords
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