Xiantao Wang

Landau’s theorem for certain biharmonic mappings

Abstract In this paper, we show the existence of Landau and Bloch constants for biharmonic mappings of the form L ( F ) . Here L represents the linear complex operator L = z ∂ ∂ z - z ¯ ∂ ∂ z ¯ defined on the class of complex-valued C 1 functions in the plane, and F belongs to the class of biharmonic mappings of the form F ( z ) = | z | 2 G ( z ) + K ( z ) ( | z | 1 ) , where G and K are harmonic.

LANDAU’S THEOREM AND MARDEN CONSTANT FOR HARMONIC ν -BLOCH MAPPINGS

Our main aim is to investigate the properties of harmonic

Discreteness criteria for Möbius groups acting on\(\mathcal{O}\mathcal{L}_p \)

\nu

On quasimöbius maps in real Banach spaces

-Bloch mappings. First, we establish coefficient estimates and a Landaus theorem for harmonic

Landau’s theorem for log-p-harmonic mappings

\nu

SOME EQUALITIES FOR CONTINUED FRACTIONS OF GENERALIZED ROGERS-RAMANUJAN TYPE

-Bloch mappings, which are generalizations of the corresponding results in \cite{B} and \cite{HG}. Second, we obtain an improved Landaus theorem for bounded harmonic mappings. At last, we get a Marden constant for harmonic mappings.

Some Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings

AbstractIn this paper, three new discreteness criteria for Möbius groups acting on

General Approach to Regions of Variability via Subordination of Harmonic Mappings

\bar R^{n * }