Analytic Functions Expressed with q-Poisson Distribution Series

Recently, the $q$- derivative operator has been used to investigate several subclasses of analytic functions in different ways with different perspectives by many researchers and their interesting results are too voluminous to discuss. The $q$- derivative operator are also used to construct some subclasses of analytic functions. In this study, we introduce certain subclasses of analytic and univalent functions in the open unit disk defined by $q$-derivative. Here, we give some conditions for an analytic and univalent function to belonging to these classes. Also, in the study, we define two functions using $q$-derivative and we aim to find the conditions for this functions to belonging to defined above subclasses of analytic functions.

Keywords:

q-poisson distribution, analytic function, univalent function, q-derivative starlike function, convex function,

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ISSN: 2587-0971
Başlangıç: 2016
Yayıncı: Ahmet Ocak AKDEMİR

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