Some special families of holomorphic and Salagean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function

Swamy S. R., BULUT S., Sailaja Y.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.3, ss.710-720, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15672/hujms.695858
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.710-720
  • Anahtar Kelimeler: holomorphic function, bi-univalent function, Fekete-Szego inequality, Horadam polynomials, modified sigmoid function, SUBCLASSES, FIBONACCI
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The aim of this paper is to introduce some special families of holomorphic and Salagean type bi-univalent functions by making use of Horadam polynomials involving the modified sigmoid activation function phi(s) = 2/1+e(-s) , s >= 0 in the open unit disc D. We investigate the upper bounds on initial coefficients for functions of the form g(phi)(z) = Sigma(infinity)(j=2) phi(s)d(j)z(j), in these newly introduced special families and also discuss the Fekete-Szego problem. Some interesting consequences of the results established here are also indicated.