arXiv:1802.05462 [math.CV]AbstractReferencesReviewsResources
Geometric Properties of the nth derivative of Bessel function
Erhan Deniz, Murat Çağlar, Sercan Topkaya
Published 2018-02-15Version 1
In this paper our aim is to find the radii of starlikeness and convexity of the nth derivative of Bessel function for three different kind of normalization. The key tools in the proof of our main results are the Mittag-Leffler expansion for nth derivative of Bessel function and properties of real zeros of it. The main results of the paper are natural extensions of some known results on classical Bessel functions of the first kind.
Categories: math.CV
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