TY - JOUR AU - E. Deniz AU - S. Kazımoğlu AU - M. Çağlar PY - 2021/11/23 Y2 - 2024/03/29 TI - Radii of starlikeness and convexity of Bessel function derivatives JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 73 IS - 11 SE - Research articles DO - 10.37863/umzh.v73i11.1014 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1014 AB - UDC 517.5In this paper, our aim is to find the radii of starlikeness andconvexity of Bessel function derivatives for three different kind of normalization. The key tools in the proof of our main results are the Mittag-Leffler expansion for $n$th derivative of Bessel function andproperties of real zeros of it. In addition, by using the Euler–Rayleigh inequalities we obtain some tight lower and upper bounds for the radii of starlikeness and convexity of order zero for the normalized $n$th derivative of Bessel function. The main results of the paper are natural extensions of some known results on classical Bessel functions of the first kind.  ER -