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On a subclass of the analytic and bi-univalent functions satisfying subordinate condition defined by q-derivative   
Yazarlar
Prof. Dr. Nizami MUSTAFA
Kafkas Üniversitesi, Türkiye
Semra Korkmaz
Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı TURKISH JOURNAL OF MATHEMATICS
Dergi ISSN 1300-0098
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q3
Makale Dili Türkçe
Basım Tarihi 01-2022
Cilt No 46
Sayı 8
Sayfalar 3095 / 3120
Doi Numarası 10.55730/1300-0098.3322
Makale Linki https://journals.tubitak.gov.tr/cgi/viewcontent.cgi?article=3322&context=math