arXiv Analytics

Sign in

arXiv:1511.06082 [math.CA]AbstractReferencesReviewsResources

Bounds for the product of modified Bessel functions

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

Published 2015-11-19Version 1

In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of first and second kind. Certain bounds for the product of modified Bessel functions of first and second kind are also obtained. These bounds improve and extend known bounds for the product of modified Bessel functions of first and second kind of order zero. A new Tur\'an 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.

Comments: 8 pages, 1 figure
Categories: math.CA
Subjects: 39B62, 33C10
Related articles: Most relevant | Search more
arXiv:1202.4853 [math.CA] (Published 2012-02-22, updated 2013-02-14)
Bounds for Turánians of modified Bessel functions
arXiv:1010.3346 [math.CA] (Published 2010-10-16)
On Turán type inequalities for modified Bessel functions
arXiv:1309.4309 [math.CA] (Published 2013-09-17, updated 2015-06-17)
Uniform bounds for expressions involving modified Bessel functions

Links

Toolbox