A New Subclass of Analytic Functions Associated with the q-Derivative Operator Related to the Pascal Distribution Series

Author:

Yang Ying1,Srivastava Rekha2ORCID,Liu Jin-Lin3

Affiliation:

1. Department of Mathematics, Maanshan Teacher’s College, Maanshan 243000, China

2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

3. Department of Mathematics, Yangzhou University, Yangzhou 225002, China

Abstract

A new subclass TXq[λ,A,B] of analytic functions is introduced by making use of the q-derivative operator associated with the Pascal distribution. Certain properties of analytic functions in the subclass TXq[λ,A,B] are derived. Some known results are generalized.

Publisher

MDPI AG

Reference32 articles.

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3. On q-functions and a certain difference operator;Jackson;Earth Environ. Sci. Trans. R. Soc.,1909

4. Bieberbach-de Branges and Fekete-Szegö inequalities for certain families of q-convex and q-close-to-convex functions;Ahuja;J. Comput. Anal. Appl.,2019

5. On Fekete-Szegö problems for certain subclasses defined by q-derivative;Aldweby;J. Funct. Spaces,2017

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