The radius of starlikeness of normalized Bessel functions of the first kind
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- by Árpád Baricz, Pál Aurel Kupán and Róbert Szász PDF
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Abstract:
In this note our aim is to determine the radius of starlikeness of the normalized Bessel functions of the first kind for three different kinds of normalization. The key tool in the proof of our main result is the Mittag-Leffler expansion for Bessel functions of the first kind and the fact that, according to Ismail and Muldoon, the smallest positive zeros of some Dini functions are less than the first positive zero of the Bessel function of the first kind.References
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Additional Information
- Árpád Baricz
- Affiliation: Department of Mathematics and Informatics, Sapientia Hungarian University of Transylvania, Târgu Mureş 540485, Romania
- Address at time of publication: Department of Economics, Babeş-Bolyai University, Cluj-Napoca 400591, Romania
- MR Author ID: 729952
- Email: bariczocsi@yahoo.com
- Pál Aurel Kupán
- Affiliation: Department of Mathematics and Informatics, Sapientia Hungarian University of Transylvania, Târgu Mureş 540485, Romania
- Email: kupanp@ms.sapientia.ro
- Róbert Szász
- Affiliation: Department of Mathematics and Informatics, Sapientia Hungarian University of Transylvania, Târgu Mureş 540485, Romania
- Email: rszasz@ms.sapientia.ro
- Received by editor(s): February 6, 2012
- Received by editor(s) in revised form: June 18, 2012
- Published electronically: February 17, 2014
- Communicated by: Sergei K. Suslov
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 2019-2025
- MSC (2010): Primary 30C45, 33C10
- DOI: https://doi.org/10.1090/S0002-9939-2014-11902-2
- MathSciNet review: 3182021