| dc.contributor.author |
Annaby, M.H. |
|
| dc.contributor.author |
Mansour, Z.S. |
|
| dc.contributor.author |
Ashour, O.A. |
|
| dc.date.accessioned |
2009-12-27T06:05:48Z |
|
| dc.date.available |
2009-12-27T06:05:48Z |
|
| dc.date.issued |
2008-11-05 |
|
| dc.identifier.citation |
Volume 160, Issues 1-2, September-October 2009, Pages 223-242 |
en_US |
| dc.identifier.uri |
http://dx.doi.org/10.1016/j.jat.2008.11.001 |
|
| dc.identifier.uri |
http://hdl.handle.net/10576/10462 |
|
| dc.description.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. |
en_US |
| dc.language.iso |
en |
en_US |
| dc.subject |
q-Bessel functions |
en_US |
| dc.subject |
Asymptotics of zeros of q-functions |
en_US |
| dc.subject |
Zeros of entire functions of order zero |
en_US |
| dc.title |
On reality and asymptotics of zeros of q-Hankel transforms |
en_US |
| dc.type |
Article |
en_US |