On a subclass of the analytic and bi-univalent functions satisfying subordinate condition defined by q-derivative
  
Yazarlar (2)
Prof. Dr. Nizami MUSTAFA Kafkas Üniversitesi, Türkiye
Semra Korkmaz Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Turkish Journal of Mathematics (Q3)
Dergi ISSN 1300-0098 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 01-2022
Cilt / Sayı / Sayfa 46 / 8 / 3095–3120 DOI 10.55730/1300-0098.3322
Makale Linki https://journals.tubitak.gov.tr/cgi/viewcontent.cgi?article=3322&context=math
Özet
In this paper, we introduce and examine certain subclass $M_q, Σ (φ, β)$ of analytic and bi-univalent functions on the open unit disk in the complex plane. Here, we give coefficient bound estimates, upper bound estimate for the second Hankel determinant and Fekete-Szegö inequality for the function belonging to this class. Some interesting special cases of the results obtained here are also discussed.
Anahtar Kelimeler
Subordination | convex function | quasi close-to- $q$ -convex function | $q$-derivative