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TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS.

Authors :
Baricz, Árpád
Source :
Bulletin of the Australian Mathematical Society. Oct2010, Vol. 82 Issue 2, p254-264. 11p.
Publication Year :
2010

Abstract

In this paper our aim is to deduce some sharp Turán type inequalities for modified Bessel functions of the first and second kinds. Our proofs are based on explicit formulas for the Turánians of the modified Bessel functions of the first and second kinds and on a formula which is related to the infinite divisibility of the Student t-distribution. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATHEMATICAL research
*MATHEMATICAL inequalities
*BESSEL functions
*URAL-Altaic peoples
*DIVISIBILITY groups
*LEGENDRE'S functions
*BESSEL polynomials
*BIOPHYSICS
*HYPERGEOMETRIC distribution

Details

Language :
English
ISSN :
00049727
Volume :
82
Issue :
2
Database :
Academic Search Index
Journal :
Bulletin of the Australian Mathematical Society
Publication Type :
Academic Journal
Accession number :
53529120
Full Text :
https://doi.org/10.1017/S000497271000002X
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