Some Extremal Problems for Functions Univalent in an Annulus.

Renate McLaughlin

Displaying similar documents to “Some Extremal Problems for Functions Univalent in an Annulus.”

An Extremal Problem Involving Functions and Their Inverses.

H.G. Diamond, F. Albrecht (1971)

Mathematica Scandinavica

Similarity:

The theorem of Eneström and the extremal functions of Landau-Schur

AUREL WINTNER (1957)

Mathematica Scandinavica

Similarity:

Properties of Some Extremal Nonvanishing Univalent Functions.

Johnny E. Brown (1984)

Mathematische Zeitschrift

Similarity:

An extremal arclength problem in some classes of univalent and p-symmetric functions

Wiesław Majchrzak (1979)

Annales Polonici Mathematici

Similarity:

Extremal problems in some classes of univalent functions in a half-plane

Jadwiga Piotrowska (1977)

Annales Polonici Mathematici

Similarity:

The Extremal Convex Functions.

Soren Johansen (1974)

Mathematica Scandinavica

Similarity:

On an Extremal Problem in Univalent Functions.

Derek Keith Thomas (1969)

Mathematische Zeitschrift

Similarity:

On Some Extremal Problems in Banach Spaces.

Václav Zizler (1973)

Mathematica Scandinavica

Similarity:

Extremal Length and Univalent Functions, I. The Angular Derivative.

Burton Rodin, Stefan E. Warschawski (1977)

Mathematische Zeitschrift

Similarity:

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.