Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series

Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series

The purpose of the present paper is to find the necessary and sufficient condition and inclusion relation for Pascal distribution series to be in the subclass TCq(λ,α) of analytic functions defined by q-derivative operator. Further, we consider an integral operator related to Pascal distribution ser...

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Bibliographic Details
Main Authors: B. A. Frasin, M. Darus
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
analytic functions
hadamard product
q-starlike functions
q-convex functions
pascal distribution series
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021295?viewType=HTML
Description
Summary:The purpose of the present paper is to find the necessary and sufficient condition and inclusion relation for Pascal distribution series to be in the subclass TCq(λ,α) of analytic functions defined by q-derivative operator. Further, we consider an integral operator related to Pascal distribution series, and several corollaries and consequences of the main results are also considered.
ISSN:2473-6988

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