Abstract | ||
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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 |
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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. Annaby | 1 | 14 | 3.55 |
Z. S. I. Mansour | 2 | 0 | 0.68 |
O. A. Ashour | 3 | 0 | 0.34 |