Radius Problems for Functions Containing Derivatives of Bessel Functions
Yazarlar (2)
Doç. Dr. Sercan KAZIMOĞLU Kafkas Üniversitesi, Türkiye
Prof. Dr. Erhan DENİZ Kafkas Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Computational Methods and Function Theory (Q3) | ||
| Dergi ISSN | 1617-9447 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2023 |
| Cilt / Sayı / Sayfa | 23 / 3 / 421–446 | DOI | 10.1007/s40315-022-00455-3 |
| Makale Linki | http://dx.doi.org/10.1007/s40315-022-00455-3 | ||
| Özet |
| In this paper our aim is to find the radii of starlikeness and convexity for three different kinds of normalizations of the function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N_\nu (z)=az^{2}J_{\nu }^{\prime \prime }(z)+bzJ_{\nu }^{\prime }(z)+cJ_{\nu }(z)$$\end{document}, where 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 and properties 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 function . Finally, we evaluate certain multiple sums of the … |
| Anahtar Kelimeler |
| Convex functions | Normalized Bessel functions of the fist kind | Radius | Starlike functions | Zeros of Bessel function derivatives |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 13 |
| Web of Science | 8 |
| Scopus | 9 |