Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 6, Issue 1


Published
on

April 3, 2021


Pages

24-30


DOI

Article

Analytic Functions Expressed with q-Poisson Distribution Series

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Authors

Nizami Mustafa Affiliation:
Kafkas University, Faculty of Science and Letters, Department of Mathematics, Kars, Turkey
and Veysel Nezir Affiliation:
Kafkas University, Faculty of Science and Letters, Department of Mathematics, Kars, Turkey


Abstract

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.


Citation

Mustafa, N. & Nezir, V. (2021). Analytic functions expressed with q-poisson distribution series. Turkish Journal of Science, 6(1), 24–30. https://doi.org/10.66833/TJOS-2021-0004

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