Open Access$ q $-Noor integral operator associated with starlike functions and $ q $-conic domains
Author(s) -
Syed Ghoos Ali Shah,
Shahbaz Khan,
Saqib Hussain,
Maslina Darus
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022606
Subject(s) - conic section , convolution (computer science) , mathematics , context (archaeology) , distortion (music) , generalization , operator (biology) , pure mathematics , type (biology) , analytic function , algebra over a field , mathematical analysis , computer science , geometry , artificial intelligence , chemistry , ecology , bandwidth (computing) , repressor , artificial neural network , transcription factor , gene , biology , paleontology , amplifier , computer network , biochemistry
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.