FEKETE-SZEGO PROBLEM FOR STARLIKE FUNCTIONS CONNECTED WITH k-FIBONACCI NUMBERS

BULUT S.

MATHEMATICA SLOVACA, cilt.71, sa.4, ss.823-830, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/ms-2021-0023
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.823-830
  • Anahtar Kelimeler: Analytic functions, univalent functions, shell-like functions, Fekete-Szego problem, Fibonacci numbers, subordination
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In a recent paper, Sokol et al. [Applications of k-Fibonacci numbers for the starlike analytic functions, Hacet. J. Math. Stat. 44(1) (2015), 121{127] obtained an upper bound for the Fekete-Szego functional phi(lambda) when lambda is an element of R of functions belong to the class SLk connected with k-Fibonacci numbers. The main purpose of this paper is to obtain sharp bounds for phi(lambda) both lambda is an element of R and lambda is an element of C. (C) 2021 Mathematical Institute Slovak Academy of Sciences