Monotonicity in terms of order of the zeros of the derivatives of Bessel functions

Lorch, Lee

doi:10.1090/S0002-9939-1990-0993757-6

Monotonicity in terms of order of the zeros of the derivatives of Bessel functions
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Proc. Amer. Math. Soc. 108 (1990), 387-389 Request permission

Abstract:

An elementary Sturm technique is shown to provide an alternative and simpler proof of the result that the known monotonicity of the zeros of fixed rank of the Bessel function of the first kind implies monotonicity for the zeros of its derivative for orders between -1 and 0. The reasoning applies to other Bessel functions.

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