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A Unimodal Property of Purely Imaginary Zeros of Bessel and Related Functions

Published online by Cambridge University Press:  20 November 2018

C. G. Kokologiannaki ,
M. E. Muldoon  and
P. D. Siafarikas
C. G. Kokologiannaki
Affiliation:
Department of Mathematics, University of Patras, 261 10 Patras, Greece
M. E. Muldoon
Affiliation:
Department of Mathematics and Statistics, York University, North York, Ontario, M3J 1P3
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Abstract

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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

33A40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 3 , 01 September 1994 , pp. 365 - 373
Copyright
Copyright © Canadian Mathematical Society 1994

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