A geometric approach to some coefficient inequalities for univalent functions

Enrico Bombieri

Displaying similar documents to “A geometric approach to some coefficient inequalities for univalent functions”

Univalent functions maximizing $Re [f (ζ_{1}) + f (ζ_{2})]$ .

Hibschweiler, Intisar Qumsiyeh (1996)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Diameter problems for univalent functions with quasiconformal extension.

Deiermann, Paul (1993)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Dynamics of quadratic polynomials : complex bounds for real maps

Mikhail Lyubich, Michael Yampolsky (1997)

Annales de l'institut Fourier

Similarity:

We prove complex bounds for infinitely renormalizable real quadratic maps with essentially bounded combinatorics. This is the last missing ingredient in the problem of complex bounds for all infinitely renormalizable real quadratics. One of the corollaries is that the Julia set of any real quadratic map $z \mapsto z^{2} + c$ , $c \in [- 2, 1 / 4]$ , is locally connected.

On the estimate of the fourth-order homogeneous coefficient functional for univalent functions

Larisa Gromova, Alexander Vasil'ev (1996)

Annales Polonici Mathematici

Similarity:

The functional |c₄ + pc₂c₃ + qc³₂| is considered in the class of all univalent holomorphic functions $f (z) = z + \sum_{n = 2}^{\infty} c_{n} z^{n}$ in the unit disk. For real values p and q in some regions of the (p,q)-plane the estimates of this functional are obtained by the area method for univalent functions. Some new regions are found where the Koebe function is extremal.