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, vol.78, no.2, 2026 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 78 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.1007/s11253-026-02558-9
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Ataturk University Affiliated: Yes

Abstract

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.