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, cilt.11, sa.3, ss.39-47, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 3
  • Basım Tarihi: 2022
  • Dergi Adı: Palestine Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.39-47
  • Anahtar Kelimeler: Analytic function, Fekete-Szegö problem, the Sălăgean derivative q−calculus
  • Atatürk Üniversitesi Adresli: Evet

Özet

© 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.