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Zbl 0693.33004
Lorch, Lee
Monotonicity in terms of order of the zeros of the derivatives of Bessel functions. (English)
[J] Proc. Am. Math. Soc. 108, No.2, 387-389 (1990). ISSN 0002-9939; ISSN 1088-6826/e

The author uses Sturm-type arguments to provide alternative and simpler proofs of some known results concerning zeros of Bessel functions and their derivatives. One of these results is that the positive zeros of $J\sb{\nu}'(x)$ are increasing functions of $\nu$ for $-1<n<0$.
[M.E.Muldoon]

MSC 2000:: *33C10 Cylinder functions, etc.
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: derivative; zeros; monotonicity; Bessel functions

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