Özkan Uçar, H. Esra2018-07-192018-07-192016-03-050096-30031873-5649https://doi.org/10.1016/j.amc.2015.12.008https://hdl.handle.net/11413/2192Let A be the class of analytic functions f which are regular and satisfying the conditions f (0) = 0, f'(0) = 1. In other words each f in A has the power series representation f(z) = z + a(2)z(2) + a(3)z(3) + ... in the open unit disc D = {z parallel to z} < 1}. For every q is an element of (0, 1), let q-difference operator be defined as follows D(q)f(z) = f(z) - f(zq)/z(1-q) (z is an element of D) Making use of the above operator we define a class of analytic functions, so called q-close-to-convex function with respect to Janowski starlike functions and the class of such functions is defined by K-q(A, B). In the present paper we will study on this class. (C) 2015 Elsevier Inc. All rights reserved.en-USClose-to-convex functionDistortion theoremGrowth theoremArticle3686408000123686408000122-s2.0-849523427102-s2.0-84952342710