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Monotonic sequences related to zeros of Bessel functions. (English) Zbl 1171.33304
Some inequalities concerning the values of the Bessel functions are proved by A. Akiyama and Y. Tanigawa in the course of their work on Salem numbers and uniform distribution modulo 1. This raises the question of inequalities and monotonicity properties for the sequences of values of one cylinder function at the zeros of another such function. Such results by differential equations methods are derived in this paper.
##### MSC:
 33C10 Bessel and Airy functions, cylinder functions, ${}_{0}{F}_{1}$ 34C10 Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory
##### References:
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