ON TURAN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS

被引：0

作者：

Baricz, Arpad ^{[1
]}

Ponnusamy, Saminathan ^{[2
]}

机构：

[1] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[2] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 02期

关键词：

Modified Bessel functions; Turan-type inequalities; completely monotonic functions; 3-COMPONENT SYSTEM; PULSE DYNAMICS; 1ST KIND; MONOTONICITY; PRODUCTS; ORDER; ZEROS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note our aim is to point out that certain inequalities for modified Bessel functions of the first and second kind, deduced recently by Laforgia and Natalini, are in fact equivalent to the corresponding Turan type inequalities for these functions. Moreover, we present some new Turan type inequalities for the aforementioned functions and we show that their product is decreasing as a function of the order, which has an application in the study of stability of radially symmetric solutions in a generalized FitzHugh-Nagumo equation in two spatial dimensions. At the end of this note an open problem is posed, which may be of interest for further research.

引用

页码：523 / 532

页数：10

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