THE FEKETE-SZEGÖ PROBLEM FOR A GENERALIZED CLASS OF ANALYTIC FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH q−CALCULUS

ORHAN H., Porwal S., Magesh N.

Palestine Journal of Mathematics, vol.11, no.3, pp.39-47, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 3
  • Publication Date: 2022
  • Journal Name: Palestine Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.39-47
  • Keywords: Analytic function, Fekete-Szegö problem, the Sălăgean derivative q−calculus
  • Ataturk University Affiliated: Yes

Abstract

© Palestine Polytechnic University-PPU 2022.In the present investigation, by using the concept of convolution and q−calculus, we define a certain q−derivative operator for analytic functions in the open unit disk. We obtain bounds for the Fekete-Szegö functional |a3 − ηa22| for new subclasses of analytic functions of complex order by using this operator. Relevant connections of the results are briefly indicated for these subclasses.