Theorems of Picard type for entire functions of several complex variables
نویسندگان
چکیده
منابع مشابه
Some inequalities in connection to relative orders of entire functions of several complex variables
Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.
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In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.
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It is shown that if n ∈ N, c ∈ C, and three distinct values of a meromorphic function f : C → P of hyper-order ς(f) strictly less than 2/3 have forward invariant pre-images with respect to a translation τ : C → C, τ(z) = z + c, then f is a periodic function with period c. This result can be seen as a generalization of M. Green’s Picard-type theorem in the special case where ς(f) < 2/3, since th...
متن کاملsome inequalities in connection to relative orders of entire functions of several complex variables
let f, g and h be all entire functions of several complex variables. in this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.
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Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2003
ISSN: 0386-5991
DOI: 10.2996/kmj/1061901063