Monotonic sequences related to zeros of Bessel functions (Q1014759)
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scientific article; zbMATH DE number 5549484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotonic sequences related to zeros of Bessel functions |
scientific article; zbMATH DE number 5549484 |
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Monotonic sequences related to zeros of Bessel functions (English)
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29 April 2009
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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.
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Bessel functions
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cylinder functions
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inequalities
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monotonicity properties
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