@article{10902/11337,
year = {2016},
month = {11},
url = {http://hdl.handle.net/10902/11337},
abstract = {The bounds for the ratios of first and second kind modified Bessel functions of consecutive orders are important quantities appearing in a large number of scientific applications. We obtain new bounds which are accurate in a large region of parameters and which are sharper than previous bounds. The new bounds are obtained by a qualitative analysis of the Riccati equation satisfied by these ratios. A procedure is considered in which the bounds obtained from the analysis of the Riccati equation are used to define a new function satisfying a new Riccati equation which yields sharper bounds. Similar ideas can be applied to other functions.},
organization = {JS acknowledges financial support from Ministerio de Economía y Competitividad, project MTM2012-34787},
publisher = {Academic Press Inc.},
publisher = {Journal of Mathematical Analysis and Applications, Volume 443, Issue 2, 15 November 2016, Pages 1232-1246},
title = {A new type of sharp bounds for ratios of modified Bessel functions},
author = {Ruiz Antolín, Diego and Segura Sala, José Javier},
}