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Research Article | Open Access

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

Syed Ghoos Ali Shah1( )Shahbaz Khan1Saqib Hussain1Maslina Darus2
Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Pakistan
Department of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
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Abstract

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.

CLC number: Primary 30C45, Secondary 30C50

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AIMS Mathematics
Pages 10842-10859

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Cite this article:
Shah SGA, Khan S, Hussain S, et al. q-Noor integral operator associated with starlike functions and q-conic domains. AIMS Mathematics, 2022, 7(6): 10842-10859. https://doi.org/10.3934/math.2022606

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Received: 14 January 2022
Revised: 10 March 2022
Accepted: 14 March 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)