Meromorphic functions with small characteristic and no asymptotic values.

Transcendental Meromorphic Functions with Three Singular Values

Every transcendental meromorphic function f in the plane which has only three critical values satisfies lim inf r→∞ T (r, f) log r ≥ √ 3

Meromorphic Functions Sharing Three Values with Weights

Using the idea of weighted sharing of values, we prove some uniqueness theorems for meromorphic functions which improve some existing results. Moreover, examples are provided to show that some results in this paper are sharp.

Characteristic Functions and Borel Exceptional Values of E-Valued Meromorphic Functions

and Applied Analysis 3 Let n r, f or n r, ∞̂ denote the number of poles of f z in |z| ≤ r and let n r, a, f denote the number of a-points of f z in |z| ≤ r, counting with multiplicities. Define the volume function associated with E-valued meromorphic function f z by V ( r, ∞̂, f V r, f 1 2π ∫ Cr log ∣∣ ∣ ∣ r ξ ∣∣ ∣ ∣Δ log ∥ ∥f ξ ∥ ∥dx ∧ dy, ξ x iy, V ( r, a, f ) 1 2π ∫ Cr log ∣ ∣ ∣ ∣ r ξ ∣ ∣ ∣ ∣Δ...

Se p 20 13 Bounded Geometry and Families of Meromorphic Functions with Two Asymptotic Values ∗

In this paper we study the topological class of universal covering maps from the plane to the sphere with two removed points; we call the elements topological transcendental maps with two asymptotic values and we denote the space byAV2. We prove that an element f ∈ AV2 with finite post-singular set is combinatorially equivalent to a meromorphic transcendental map g with constant Schwarzian deri...

On Meromorphic Functions of Bounded Characteristic