Value Distribution of Meromorphic Functions

On the packing dimension of the Julia set and the escaping set of an entire function

“…This method shows in particular that if f ∈ B, then f is bounded on a curve tending to ∞; see [15, p. 993]. The cos πρ-theorem (see [19,Chapter 5 [30,Lemma 3.5]. )…”

“…We use the standard terminology of Nevanlinna theory and, in particular, denote by T (r, f ) the Nevanlinna characteristic of a meromorphic function f ; see [19,20]. First we note that using the well-known inequality…”

A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables

“…By the definition of the characteristic function of f and using similar discussion as in [16,Page 47], it is not difficult to get that for any meromorphic function g on C m and c ∈ C…”

Value distributions of solutions to complex linear differential equations in angular domains

“…In this article, we assume the reader is familiar with standard notations and basic results of Nevanlinna's value distribution theory in the unit disk D fz W jzj < 1g, in an angular region, and in the complex plane C respectively; see [1][2][3][4][5]. The order .f / and lower order .f / of f which is meromorphic in C or are defined as follows: …”

“…Recalling the Nevanlinna theory in an angular domain and following the terms in [1], we set Thus, the order and lower order of f on can also be defined by…”