Sakaguchi type functions defined by q-Bernoulli numbers

BULUT S., Saravanan G., Baskaran S.

Afrika Matematika, vol.37, no.1, 2026 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.1007/s13370-026-01442-w
  • Journal Name: Afrika Matematika
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Keywords: Analytic function, Fekete-Szegö problem, q-Bernoulli polynomials, Sakaguchi type function, Univalent function
  • Kocaeli University Affiliated: Yes

Abstract

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.