Mathematics – Complex Variables
Scientific paper
2012-02-07
Mathematics
Complex Variables
7 pages
Scientific paper
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 [IM2], the smallest positive zeros of some Dini functions are less than the first positive zero of the Bessel function of the first kind.
Baricz Árpád
Kupán Pál A.
Szász Róbert
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