منابع مشابه
Difference Picard theorem for meromorphic functions of several variables
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 کاملMeromorphic Functions, Bifurcation Sets and Fibred Links
We give a necessary condition for a meromorphic function in several variables to give rise to a Milnor fibration of the local link (respectively of the link at infinity). In the case of two variables we give some necessary and sufficient conditions for the local link (respectively the link at infinity) to be fibred.
متن کاملDimensions of Julia Sets of Meromorphic Functions
It is shown that for any meromorphic function f the Julia set J(f) has constant local upper and lower box dimensions, d(J(f)) and d(J(f)) respectively, near all points of J(f) with at most two exceptions. Further, the packing dimension of the Julia set is equal to d(J(f)). Using this result it is shown that, for any transcendental entire function f in the class B (that is, the class of function...
متن کاملUniqueness of Meromorphic Functions Sharing Sets
In this article, we investigate the problem of uniqueness of meromorphic functions sharing one set and having deficient values, and obtain a result which provides an answer to a question of F.Gross [2] and H.X.Yi [9].
متن کاملTwo Meromorphic Functions Sharing Sets concerning Small Functions
The main purpose of this paper is to deal with the uniqueness of meromorphic functions sharing sets concerning small functions. We obtain two main theorems which improve and extend strongly some results due to R. Nevanlinna, Li-Qiao, Yao, Yi, Thai-Tan, and Cao-Yi.
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Series A I Mathematica
سال: 1968
ISSN: 0066-1953
DOI: 10.5186/aasfm.1968.417