On reality and asymptotics of zeros of q-Hankel transforms

المؤلف	Annaby, M.H.
المؤلف	Mansour, Z.S.
المؤلف	Ashour, O.A.
تاريخ الإتاحة	2009-12-27T06:05:48Z
تاريخ النشر	2008-11-05
اسم المنشور	Journal of Approximation Theory
المعرّف	http://dx.doi.org/10.1016/j.jat.2008.11.001
الاقتباس	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
معرّف المصادر الموحد	http://hdl.handle.net/10576/10462
الملخص	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.
اللغة	en
الناشر	Elsevier Inc.
الموضوع	q-Bessel functions Asymptotics of zeros of q-functions Zeros of entire functions of order zero
العنوان	On reality and asymptotics of zeros of q-Hankel transforms
النوع	Article

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