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2. Bounds for the product of modified Bessel functions.

Author

Baricz, Árpád, Maširević, Dragana, Ponnusamy, Saminathan, and Singh, Sanjeev

Subjects
*BESSEL functions, *MONOTONIC functions, *DIFFERENTIAL equations, *TRANSCENDENTAL functions, *REAL variables
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. [ABSTRACT FROM AUTHOR]

Published
2016
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