Radii of γ-Spirallike of q-Special Functions
Yazarlar (1)
Doç. Dr. Sercan KAZIMOĞLU Kafkas Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Mathematics (Q1) | ||
| Dergi ISSN | 2227-7390 Dergi Bilgileri (2024) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 07-2024 |
| Cilt / Sayı / Sayfa | 12 / 14 / 1–15 | DOI | 10.3390/math12142261 |
| Makale Linki | http://dx.doi.org/10.3390/math12142261 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| 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 γ-spirallike and convex γ-spirallike of order σ 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 |
| Atıf Sayıları | |
| Web of Science | 2 |
| Scopus | 4 |
| Google Scholar | 4 |