Find in Library

In this paper, the concepts of quantum (or <em>q</em>-) calculus and conic regions are combined to define a new domain Ω_{<em>k,q,γ</em>} which represents the generalized conic regions. Then by using a certain generalized conic domain Ω_{<em>k,q,γ</em>} we define and investigate a new subclass of normalized analytic functions in open unit disk <em>E</em>. We also investigate a number of useful properties and characteristics of this subclass such as, structural formula, necessary and sufficient condition, coefficient estimates, Feketo-Szego problem, distortion inequalities, closure theorem, and subordination result. We also highlight some known consequences of our main results as corollaries.