Properties of λ-pseudo-starlike functions with respect to a boundary point

Abstract

The purpose of this present paper is to investigate some mapping properties of functions which map the unit disc onto a overlapped leaf-like curve, having real part greater than zero. Also we define a class of λ-pseudo starlike functions related to a leaf-like curve. Integral representation, inequalities for the initial Taylor-Maclaurin coefficients and Fekete-Szegö problem for subclasses of analytic functions related to various conic regions are obtained as our main results.

Keywords

• analytic functions
• starlike functions
• functions with positive real part
• subordination
• fekete-szegö problem
• coefficient inequalities
• q-calculus