Title
On reality and asymptotics of zeros of q-Hankel transforms
Abstract
We give sufficient conditions which guarantee that the finite q-Hankel transforms have only real zeros which satisfy some asymptotic relations. The study is carried out using two different techniques. The first is by a use of Rouche's theorem and the other is by applying a theorem of Hurwitz and Biehler. In every study further restrictions are imposed on q@?(0,1). We compare the results via some interesting applications involving second and third q-Bessel functions as well as q-trigonometric functions.
Year
DOI
Venue
2009
10.1016/j.jat.2008.11.001
Journal of Approximation Theory
Keywords
Field
DocType
sufficient condition,different technique,finite q-hankel,q-bessel function,asymptotic relation,real zero,q-trigonometric function,interesting application,hankel transform,entire function,satisfiability,bessel function
Mathematical analysis,Asymptotic analysis,Mathematics
Journal
Volume
Issue
ISSN
160
1-2
0021-9045
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
M. H. Annaby1143.55
Z. S. I. Mansour200.68
O. A. Ashour300.34