Bounds for the product of modified Bessel functions

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• 作者：Árpád Baricz ; Dragana Jankov Maširević ; Saminathan Ponnusamy…
• 刊名：Aequationes Mathematicae
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：90
• 期：4
• 页码：859-870
• 全文大小：504 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Combinatorics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8903
• 卷排序：90

文摘

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.KeywordsModified Bessel functionsTurán type inequalitiesmonotonicity propertiesbounds