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On some geometric properties and Hardy class of q-Bessel functions

İbrahim Aktaş

*Corresponding author: İbrahim Aktaş aktasibrahim38@gmail.com


In this paper, we deal with some geometric properties including starlikeness and convexity of order α of Jackson’s second and third q-Bessel functions which are natural extensions of classical Bessel function Jν. In additon, we determine some conditions on the parameters such that Jackson’s second and third q-Bessel functions belong to the Hardy space and to the class of bounded analytic functions.

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