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

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

2011-08-20

arxiv.org/abs/1108.4087v1

Applied Mathematics Letters, Vol. 25 (2012), Pages 344-351

Mathematics

Complex Variables

Scientific paper

10.1016/j.aml.2011.09.012

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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