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

2011/08/20 by Rosihan M. Ali, See Keong Lee, Lee See Keong +2 · 156 citations
Mathematics · #math.CV #msc:30C45

paper · pdf · doi:10.1016/j.aml.2011.09.012

published in Applied Mathematics Letters 25(3), 344-351 (Elsevier BV)

arxiv created 2011/08/20 · crossref created 2011/09/16 · arxiv updated 2011/12/30 · crossref issued 2012/03/01 · crossref published 2012/03/01 · crossref published-print 2012/03/01 · crossref deposited 2025/10/12 · crossref indexed 2026/08/08

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 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.

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