| Yazarlar |
Dr. Öğr. Üyesi Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye |
Prof. Dr. Erhan DENİZ
Kafkas Üniversitesi, Türkiye |
| Özet |
| In this paper our aim is to find the radii of starlikeness and convexity for three different kinds of normalizations of the function Nν(z)=az2Jν″(z)+bzJν′(z)+cJν(z), where Jν(z) is the Bessel function of the first kind of order ν. The key tools in the proof of our main results are the Mittag-Leffler expansion for the function Nν(z) 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 Nν(z). Finally, we evaluate certain multiple sums of the zeros for the function Nν(z). |
| Anahtar Kelimeler |
| Convex functions | Normalized Bessel functions of the fist kind | Radius | Starlike functions | Zeros of Bessel function derivatives |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Computational Methods and Function Theory |
| Dergi ISSN | 1617-9447 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q3 |
| Makale Dili | İngilizce |
| Basım Tarihi | 09-2023 |
| Cilt No | 23 |
| Sayı | 3 |
| Sayfalar | 421 / 446 |
| Doi Numarası | 10.1007/s40315-022-00455-3 |
| Makale Linki | http://dx.doi.org/10.1007/s40315-022-00455-3 |
| Atıf Sayıları | |
| WoS | 6 |
| SCOPUS | 7 |
| Google Scholar | 10 |
