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Radii of γ-Spirallike of q-Special Functions      
Yazarlar
Sercan Kazımoğlu
Kafkas Üniversitesi, Turkey
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 Grubu Q1
Makale Dili İngilizce
Basım Tarihi 07-2024
Cilt No 12
Sayı 14
Doi Numarası 10.3390/math12142261
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Radii of γ-Spirallike of q-Special Functions

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