Fekete–Szegö inequalities for subclass of bi-univalent functions associated with Sălăgean type q-difference operator

Murugusundaramoorthy G., Yalcin S., ALTINKAYA Ş.

Afrika Matematika, cilt.30, ss.979-987, 2019 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s13370-019-00696-x
  • Dergi Adı: Afrika Matematika
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.979-987
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2019, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.In this paper, we introduce and investigate a new subclass of the function class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Sălăgean type q-difference operator and satisfy some subordination conditions. Furthermore, we find estimates on the Taylor–Maclaurin coefficients | a2| and | a3| for functions in the new subclass introduced here. Several (known or new) consequences of the results are also pointed out. Further we obtain Fekete–Szegö inequality for the new function class.