Abstract
This paper mainly deals with the tilted Carathodory class by angle (, ), denoted by ) an element of which maps the unit disc into the tilted right half-plane { : Re > 0}. Firstly we will characterize from different aspects, for example by subordination and convolution. Then various estimates of functionals over are deduced by considering these over the extreme points of or the knowledge of functional analysis. Finally some subsets of analytic functions related to including close-to-convex functions with argument , -spirallike functions and analytic functions whose derivative is in are also considered as applications.
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