On a General Subclass of <i>q</i>-Starlike and <i>q</i>-Convex Analytic Functions

We introduce a certain subclass of analytic functions in the open unit disk U involving the q-derivative operator. Some convolution results and Fekete-Szegö inequalities for the analytic functions belonging to this class are derived. We have also provided some results as corollaries of our theorems.

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Publication Details

Journal
Contemporary Mathematics
Published
2024-12-10
DOI
https://doi.org/10.37256/cm.5420245694
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On a General Subclass of q-Starlike and q-Convex Analytic Functions

Amnah E. Shammaky, T. M. Seoudy
Contemporary Mathematics
Analytic and geometric function theory
article

On a General Subclass of q-Starlike and q-Convex Analytic Functions

Amnah E. Shammaky, T. M. Seoudy
article en

Abstract

We introduce a certain subclass of analytic functions in the open unit disk U involving the q-derivative operator. Some convolution results and Fekete-Szegö inequalities for the analytic functions belonging to this class are derived. We have also provided some results as corollaries of our theorems.

Contemporary Mathematics
Umm al-Qura University (SA), Jazan University (SA)
Reduced inequalities
Openalex Percentile: Top 64%
Analytic and geometric function theory
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