Coefficient estimates for Libera type bi-close-to-convex functions

BULUT S.

MATHEMATICA SLOVACA, cilt.71, sa.6, ss.1401-1410, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 6
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/ms-2021-0060
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1401-1410
  • Anahtar Kelimeler: analytic functions, univalent functions, bi-close-to-convex functions, bi-starlike functions, Faber polynomials
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In a very recent paper, Wang and Bulut [A note on the coefficient estimates of bi-close-to-convex functions, C. R. Acad. Sci. Paris, Ser. I 355 (2017), 876-880] determined the estimates for the general Taylor-Maclaurin coefficients of functions belonging to the bi-close-to-convex function class. In this study, we introduce the class of Libera type bi-close-to-convex functions and obtain the upper bounds for the coefficients of functions belonging to this class. Our results generalize the results in the above mentioned paper.