Monotonicity in terms of order of the zeros of the derivatives of Bessel functions
Author:
Lee Lorch
Journal:
Proc. Amer. Math. Soc. 108 (1990), 387-389
MSC:
Primary 33A40
DOI:
https://doi.org/10.1090/S0002-9939-1990-0993757-6
MathSciNet review:
993757
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Abstract | References | Similar Articles | Additional Information
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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-Bessel functions, J. Math. Anal, and Appl. 135 (1988), 187-207. Retrieve articles in Proceedings of the American Mathematical Society with MSC: 33A40
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1990-0993757-6
Article copyright:
© Copyright 1990
American Mathematical Society
