Coefficient Estimates in New Subclasses of Analytic and Bi-Univalent Functions Defined by the Combinations of the q-derivative and the Sălăgean Derivative Operator

ORHAN, Halit

doi:10.1007/s11253-026-02558-9

Coefficient Estimates in New Subclasses of Analytic and Bi-Univalent Functions Defined by the Combinations of the q-derivative and the Sălăgean Derivative Operator

ORHAN H.

Ukrainian Mathematical Journal, cilt.78, sa.2, 2026 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 78 Sayı: 2
Basım Tarihi: 2026
Doi Numarası: 10.1007/s11253-026-02558-9
Dergi Adı: Ukrainian Mathematical Journal
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Atatürk Üniversitesi Adresli: Evet

Özet

We introduce and study two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disk and associated with the Sălăgean and q-derivative operators. Furthermore, we find estimates for the Taylor–Maclaurin coefficients a2 and a3 of the functions from these new subclasses. The accumulated results are quite interesting and new.