Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions

Abstract

Estimates on the initial coefficients are obtained for normalized analytic functions $f$ in the open unit disk with $f$ and its inverse $g=f^{-1}$ satisfying the conditions that $z{f}^{\prime }(z)/f(z)$ and $z{g}^{\prime }(z)/g(z)$ are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made.

Cited by in corpus (5)

• Initial coefficient bounds for a general class of bi-univalent functions
• Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers
• Initial estimates for certain subclasses of bi-univalent functions with $\kappa -$Fibonacci numbers
• Estimates for initial coefficients of certain bi-univalent functions
• Coefficient estimates for some families of bi-bazilevic functions of the ma-minda defined by convolution