On reality and asymptotics of zeros of q-Hankel transforms
| Author | Annaby, M.H. |
| Author | Mansour, Z.S. |
| Author | Ashour, O.A. |
| Available date | 2009-12-27T06:05:48Z |
| Publication Date | 2008-11-05 |
| Publication Name | Journal of Approximation Theory |
| Identifier | http://dx.doi.org/10.1016/j.jat.2008.11.001 |
| Citation | Annaby, M. H., Mansour, Z. S., & Ashour, O. A. (2009). On reality and asymptotics of zeros of -Hankel transforms. Journal of Approximation Theory, 160(1–2), 223–242 |
| 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 Rouché'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. |
| Language | en |
| Publisher | Elsevier Inc. |
| Subject | q-Bessel functions Asymptotics of zeros of q-functions Zeros of entire functions of order zero |
| Type | Article |
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Mathematics, Statistics & Physics [666 items ]