RADII OF LEMNISCATE STARLIKENESS AND CONVEXITY OF THE FUNCTIONS INCLUDING DERIVATIVES OF BESSEL FUNCTIONS

被引：1

作者：

Deniz, Erhan ^{[1
]}

Kiziltepe, Adem ^{[1
]}

Cotirla, Luminita-Ioana ^{[2
]}

机构：

[1] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkiye

[2] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 03期

关键词：

Normalized Bessel functions of the fist kind; lemniscate convex functions; lemniscate starlike functions; zeros of Bessel function; radius;

D O I：

10.7153/jmi-2024-18-53

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, our aim is to determine the radii of starlikeness and convexity associated with lemniscate of Bernoulli for three different kinds of normalizations of the function N ( z ) = az 2 J ,, ( z ) + bzJ, , ( z ) + cJ ( z ) , where J nu is the Bessel function of the first kind of order . The key tools in the proof of our main results are the Mittag-Leffler expansion for the function N ( z ) and properties of real zeros of it. Also, we give tables related with special cases of parameters.

引用

页码：971 / 982

页数：12

共 21 条

[1] STARLIKENESS OF BESSEL FUNCTIONS AND THEIR DERIVATIVES [J].