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AIMS Mathematics
Article . 2022 . Peer-reviewed
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AIMS Mathematics
Article . 2022
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$ q $-Noor integral operator associated with starlike functions and $ q $-conic domains

Authors: Syed Ghoos Ali Shah; Shahbaz Khan; Saqib Hussain; Maslina Darus;

$ q $-Noor integral operator associated with starlike functions and $ q $-conic domains

Abstract

<abstract><p>In this paper, we will discuss some generalized classes of analytic functions related with conic domains in the context of $ q $-calculus. In this work, we define and explore Janowski type $ q $-starlike functions in $ q $ -conic domains. We investigate some important properties such as necessary and sufficient conditions, coefficient estimates, convolution results, linear combination, weighted mean, arithmetic mean, radii of starlikeness, growth and distortion results for these classes. It is important to mention that our results are generalization of number of existing results.</p></abstract>

Keywords

q-conic domain, q-janowski functions, analytic functions, QA1-939, subordination, noor integral operator, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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