Univalence of integral operators involving Bessel functions |
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Authors: | Árpád Baricz Basem A. Frasin |
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Affiliation: | 1. Department of Economics, Babe?-Bolyai University, Cluj-Napoca 400591, Romania;2. Department of Mathematics, Al al-Bayt University, Mafraq 130095, Jordan |
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Abstract: | In this note our aim is to deduce some sufficient conditions for integral operators involving Bessel functions of the first kind to be univalent in the open unit disk. The key tools in our proofs are the generalized versions of the well-known Ahlfors’ and Becker’s univalence criteria and some inequalities for the normalized Bessel functions of the first kind. |
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