Zalcman conjecture for a subclass of multivalent functions defined by Sălăgean operator
Journal of Applied Analysis, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1515/jaa-2026-0009
- Dergi Adı: Journal of Applied Analysis
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, ABI/INFORM, MathSciNet, zbMATH
- Anahtar Kelimeler: Analytic function, multivalent function, Sălăgean operator, Zalcman conjecture
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this paper, we introduce a new subclass of analytic and multivalent functions by means of the Sălăgean’s differential operator, and obtain the sharp upper bound of Zalcman functional |a2p+1 − ap+2| for functions belong to this class.