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

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.

Keywords

• analytic functions
• subordination
• noor integral operator
• q-conic domain
• q-janowski functions