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

Autor: Syed Ghoos Ali Shah, Shahbaz Khan, Saqib Hussain, Maslina Darus
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 6, Pp 10842-10859 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022606?viewType=HTML
Popis: 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.
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