Sakaguchi type functions defined by q-Bernoulli numbers
Afrika Matematika, cilt.37, sa.1, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s13370-026-01442-w
- Dergi Adı: Afrika Matematika
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: Analytic function, Fekete-Szegö problem, q-Bernoulli polynomials, Sakaguchi type function, Univalent function
- Kocaeli Üniversitesi Adresli: Evet
Özet
This study uses a q-derivative operator and q-Bernoulli numbers to establish the subclass SBq,λs,bF0 of Sakaguchi type functions. We obtained constraints for the initial coefficients |a2| and |a3| through our analysis, providing insight into the characteristics and behavior of functions in this subclass. Furthermore, we derive the Fekete-Szegö inequality that is peculiar to this class, along with a number of corollaries that expand on our results and enhance our comprehension of their implications.