Meromorphic functions with maximal deficiency sum and a conjecture of F. Nevanlinna
نویسندگان
چکیده
منابع مشابه
E-Valued Meromorphic Functions With Maximal Deficiency Sum∗
The purpose of this paper is to discuss the relationship between the characteristic function of an E-valued meromorphic function f and and that of its derivative f ′. Consequently, for a finite order E-valued meromorphic function f with maximal deficiency sum, we obtain that T (r, f ′) ∼ (2 − δ(∞̂, f))T (r, f) as r → +∞. Results are obtained to extend the related results for meromorphic scalar v...
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15 صفحه اولThe value distribution of f + a(f ) and normal families of meromorphic functions
In this paper, we obtain a normal criterion of meromorphic functions concerning shared values. Let D be a domain in C and F be a family of meromorphic functions in D. Let k, n,m ∈ N, n ≥ mk+m+1, and a, b two finite complex numbers with a 6= 0. Suppose that every f ∈ F has all its zeros of multiplicity at least k+ 1 . If f + a(f ) and g + a(g)share the value b IM for every pair of functions (f, ...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1969
ISSN: 0001-5962
DOI: 10.1007/bf02392387