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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Title: On reality and asymptotics of zeros of q-Hankel transforms
Author: Annaby, M.H.; Mansour, Z.S.; Ashour, O.A.
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.
URI: http://dx.doi.org/10.1016/j.jat.2008.11.001
http://hdl.handle.net/10576/10462
Date: 2008-11-05

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