ABSTRACT: The main objective of this study is introduce a new generalized differential operator 𝐷𝜆1,𝜆2𝑘 ,𝛼 ,𝛽 defined on the open unit disk 𝑈={ 𝑍 ∈∁∶|𝑍| <1}. And we obtain sufficient condition for univalent function of analytic function defined by this operator 𝐷𝜆1,𝜆2𝑘 ,𝛼 ,𝛽 and new class containing this generalized differential operator were studied and characterization of these classes was obtained.
تاريخ النشر
03/09/2021
الناشر
Journal of Alasmarya University:Basic and Applied Sciences
رقم المجلد
رقم العدد
الصفحات
128-139
الكلمات المفتاحية
Keywords: Analytic function, univalent function, sufficient conditions, class of analytic univalent functions.
محمد مسعود أحمد الأرقط | Mohamed Masod Ahmed Alargat | 488