Sakaguchi type functions defined by q-Bernoulli numbers

BULUT S., Saravanan G., Baskaran S.

Afrika Matematika, cilt.37, sa.1, 2026 (ESCI, Scopus) identifier identifier

  • 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.