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arXiv 1908.101262019-08math.CV

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

İbrahim Aktaş

备注：: 13 pages

英文摘要：

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 $J_ν$. 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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