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

Makale Tam Makale Uluslararası 2026

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

Halit Orhan

UKRAINIAN MATHEMATICAL JOURNAL Cilt 78 · Sayı 2 · 01.04.2026

DOI ile aç

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.

Atıf için künye

Orhan, H. (2026). Coefficient Estimates in New Subclasses of Analytic and Bi-Univalent Functions Defined by the Combinations of the q-derivative and the Sălăgean Derivative Operator. UKRAINIAN MATHEMATICAL JOURNAL, 78(2). https://doi.org/10.1007/s11253-026-02558-9

BibTeX

@article{orhan2026-73114,
  author = {Orhan, Halit},
  title = {Coefficient Estimates in New Subclasses of Analytic and Bi-Univalent Functions Defined by the Combinations of the q-derivative and the Sălăgean Derivative Operator},
  journal = {UKRAINIAN MATHEMATICAL JOURNAL},
  year = {2026},
  volume = {78},
  number = {2},
  issn = {0041-5995},
  doi = {10.1007/s11253-026-02558-9},
  url = {https://akademik.atauni.edu.tr/yayinlar/73114-coefficient-estimates-in-new-subclasses-of-analytic-and-bi-univalent-functions}
}