A Unimodal Property of Purely Imaginary Zeros of Bessel and Related Functions
- 1 September 1994
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 37 (3) , 365-373
- https://doi.org/10.4153/cmb-1994-054-3
Abstract
We show, among other things, that, for n = 0,1, the negative of the square of a purely imaginary zero of is unimodal on (n — 2, n — 1). One of the important tools in the proof is the Mittag-Leffler partial fractions expansion of .Keywords
This publication has 1 reference indexed in Scilit:
- The zeros of <mml:math alttext="$az^2 J''_\nu \left( z \right)International Journal of Mathematics and Mathematical Sciences, 1992