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Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions. (English) Zbl 1246.30018
Authors’ 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 \(zf'(z)/f(z)\) and \(zg'(z)/g(z)\) are both subordinate to a 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.

MSC:
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50 Coefficient problems for univalent and multivalent functions of one complex variable
30C55 General theory of univalent and multivalent functions of one complex variable
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