Bounds for the product of modified Bessel functions
Aequationes mathematicae, 2016•Springer
In this note our aim is to present some monotonicity properties of the product of modified
Bessel functions of the first and second kind. Certain bounds for the product of modified
Bessel functions of the first and second kind are also obtained. These bounds improve and
extend known bounds for the product of modified Bessel functions of the first and second
kind of order zero. A new Turán type inequality is also given for the product of modified
Bessel functions, and some open problems are stated, which may be of interest for further …
Bessel functions of the first and second kind. Certain bounds for the product of modified
Bessel functions of the first and second kind are also obtained. These bounds improve and
extend known bounds for the product of modified Bessel functions of the first and second
kind of order zero. A new Turán type inequality is also given for the product of modified
Bessel functions, and some open problems are stated, which may be of interest for further …
Abstract
In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of the first and second kind. Certain bounds for the product of modified Bessel functions of the first and second kind are also obtained. These bounds improve and extend known bounds for the product of modified Bessel functions of the first and second kind of order zero. A new Turán type inequality is also given for the product of modified Bessel functions, and some open problems are stated, which may be of interest for further research.
Springer
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