Electronic Journal of Differential Equations,
Conference 04 (2000), pp. 147-154.

Title: Monotonicity and bounds on Bessel functions

Author: Larry Landau (King's College London, London, UK)
 
Abstract: 
 survey my recent results on monotonicity with respect to order 
of general Bessel functions, which follow from a new identity and 
lead to best possible uniform bounds. Application may be made to the 
"spreading of the wave packet" for a free quantum particle on a 
lattice and to estimates for perturbative expansions.

Published July 12, 2000.
Math Subject Classifications: 33C10.
Key Words: Bessel function; best uniform bound; quantum particle on a lattice.