k-uniformly multivalent functions involving Liu-Owa q-integral operator
TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.1, ss.24-35, 2022 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 46 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.3906/mat-2101-56
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.24-35
- İstanbul Kültür Üniversitesi Adresli: Evet
Özet
In this paper, we introduce q-analogue of Liu-Owa integral operator and define k-uniformly multivalent starlike functions of order gamma, (0 <= gamma < p; p is an element of N) by using Liu-Owa q-integral operator. We examine coefficient estimates, growth and distortion bounds for the functions belonging to the subclass of k-uniformly multivalent starlike functions of order gamma. Moreover, we determine radii of k- uniformly starlikeness, convexity and close-to-convexity for the functions belonging to this subclass.