Bounds for the product of modified Bessel functions

Baricz, Árpád and Jankov Masirevic, Dragana and Ponnusamy, Saminathan and Singh, Sanjeev (2016) Bounds for the product of modified Bessel functions. AEQUATIONES MATHEMATICAE, 90 (4). pp. 859-870. ISSN 0001-9054

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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 Turan 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.

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