| Yazarlar |
Dr. Öğr. Üyesi Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye |
| Özet |
| The geometric properties of q-Bessel and q-Bessel-Struve functions are examined in this study. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For these normalized functions, the radii of (Formula presented.) -spirallike and convex (Formula presented.) -spirallike of order (Formula presented.) are determined using their Hadamard factorization. These findings extend the known results for Bessel and Struve functions. The characterization of entire functions from the Laguerre-Pólya class plays an important role in our proofs. Additionally, the interlacing property of zeros of q-Bessel and q-Bessel-Struve functions and their derivatives is useful in the proof of our main theorems. |
| Anahtar Kelimeler |
| q-Bessel functions | q-Bessel-Struve functions | radii of γ-spirallike | γ-spirallike functions |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Mathematics |
| Dergi ISSN | 2227-7390 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q1 |
| Makale Dili | Türkçe |
| Basım Tarihi | 07-2024 |
| Cilt No | 12 |
| Sayı | 14 |
| Sayfalar | 1 / 15 |
| Doi Numarası | 10.3390/math12142261 |
| Makale Linki | http://dx.doi.org/10.3390/math12142261 |
