Yazarlar
Yayınlar
- MakaleAçık Erişim2018Scopus SJRQ3Radii of uniform convexity of some special functions
Aktaş, Ibrahim; Toklu, Evrim; Orhan, Halit
In this investigation our main aim is to determine the radii of uniform convexity of selected normalized q -Bessel and Wright functions. Here we consider six different normalized forms of q -Bessel functions and we apply three different kinds of the normalization of the Wright function. We also show that the obtained radii are the smallest positive roots of some functional equations.
AtıfScopus12WoS14OpenAlex15
İncele - MakaleYalnız künye2018Scopus SJRQ3On partial sums of normalized q-Bessel functions
Aktaş, Ibrahim; Orhan, Halit
In the present investigation our main aim is to give lower bounds for the ratio of some normalized q-Bessel functions and their sequences of partial sums. Especially, we consider Jackson's second and third q-Bessel functions and we apply one normalization for each of them.
AtıfScopus5WoS5İncele - MakaleAçık Erişim2017Scopus SJRQ2Bounds for Radii of Starlikeness of Some q -Bessel Functions
Aktaş, İbrahim; Baricz, Árpád
In this paper the radii of starlikeness of Jackson’s second and third q-Bessel functions are considered and for each of them three different normalization are applied. By applying Euler–Rayleigh inequalities for the first positive zeros of these functions tight lower and upper bounds for the radii of starlikeness of these functions are obtained. The Laguerre–Pólya class of real entire functions plays an important role in this study. In particular, we obtain some new bounds for the first positive zero of the derivative of the classical Bessel function of the first kind.
AtıfScopus38WoS38OpenAlex38İncele