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Author Annaby, M.H.en_US
Author Mansour, Z.S.en_US
Author Ashour, O.A.en_US
Available date 2009-12-27T06:05:48Zen_US
Publication Date 2008-11-05en_US
Publication Name Journal of Approximation Theory
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), 223–242en_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 enen_US
Publisher Elsevier Inc.en_US
Subject q-Bessel functionsen_US
Subject Asymptotics of zeros of q-functionsen_US
Subject Zeros of entire functions of order zeroen_US
Title On reality and asymptotics of zeros of q-Hankel transformsen_US
Type Articleen_US

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