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Monotonicity in Terms of Order of the Zeros of the Derivatives of Bessel Functions
Proceedings of the American Mathematical Society
Vol. 108, No. 2 (Feb., 1990), pp. 387-389
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2048286
Page Count: 3
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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.
Proceedings of the American Mathematical Society © 1990 American Mathematical Society