Certain subclasses of spiral-like functions associated with q-analogue of Carlson-Shaffer operator

Certain subclasses of spiral-like functions associated with q-analogue of Carlson-Shaffer operator

In this paper, making use of the q-analogue of Carlson-Shaffer operator Lq(a,c) we introduce a new subclass of spiral-like functions and discuss some subordination results and Fekete-Szego problem for this generalized function class. Further, some known and new results which follow as special cases...

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Bibliographic Details
Main Authors: Tamer M. Seoudy, Amnah E. Shammaky
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
convex functions
fekete-szego problem
hadamard product
q-analogue of carlson-shaffer operator
spiral-like functions
starlike functions
subordinating factor sequence
univalent functions
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021153?viewType=HTML
Description
Summary:In this paper, making use of the q-analogue of Carlson-Shaffer operator Lq(a,c) we introduce a new subclass of spiral-like functions and discuss some subordination results and Fekete-Szego problem for this generalized function class. Further, some known and new results which follow as special cases of our results are also mentioned.
ISSN:2473-6988

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