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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(4):500-503; doi:10.1093/qjmam/10.4.500
© 1957 by Oxford University Press
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ON THE ZEROS OF BESSEL FUNCTIONS OF PURE IMAGINARY ORDER

ENOK PALM

( Institute for Weather and Climate Research Blindern, Norway )

It is proved that Bessel functions of pure imaginary order (defined as a solution of equation (1) below) cannot have two zeros on a line parallel to the real axis. A consequence of this result is that Couette flow with static stability does not possess exponential unstable waves. It also follows from the proof that the Bessel function Gv(z) defined by can only have real zeros for finite values of the argument.


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