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arXiv · 1908.10126

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

İbrahim Aktaş
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Abstract

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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İbrahim Aktaş. 2019-09-06. On some geometric properties and Hardy class of q-Bessel functions. https://arxiv.org/abs/1908.10126

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