On reality and asymptotics of zeros of q-Hankel transforms

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On reality and asymptotics of zeros of q-Hankel transforms

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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

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