On reality and asymptotics of zeros of q-Hankel transforms

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Author Annaby, M.H. en_US
Author Mansour, Z.S. en_US
Author Ashour, O.A. en_US
Available date 2009-12-27T06:05:48Z en_US
Publication Date 2008-11-05 en_US
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 en_US
URI http://dx.doi.org/10.1016/j.jat.2008.11.001 en_US
URI http://hdl.handle.net/10576/10462 en_US
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
Language en en_US
Publisher Elsevier Inc. en_US
Subject q-Bessel functions en_US
Subject Asymptotics of zeros of q-functions en_US
Subject Zeros of entire functions of order zero en_US
Title On reality and asymptotics of zeros of q-Hankel transforms en_US
Type Article en_US

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