Further results on prime entire functions
نویسندگان
چکیده
منابع مشابه
Further Results on Fixpoints and Zeros of Entire Functions
In this paper, a quantitative estimation on the number of zeros of the function /oj(z)-o(z) is derived, where f and g are transcendental entire functions and aiz) a nonconstant polynomial. As an application of this and a further step towards an affirmative answer to a conjecture of Baker, a quantitative estimation on the number of period points of exact order n of fn (nth iterate of /) is obtai...
متن کاملPrime Entire Functions
Factorizations of various functions are discussed. Complete factorizations of certain classes of functions are given. In particular it is shown that there exist primes of arbitrary growth.
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In this paper, we study the uniqueness problems of entire functions sharing one value with weight l (l = 0,1,2). The results in this paper improve the related results given by X.Y. Zhang and W.C. Lin, M.L. Fang, C.C. Yang and X.H. Hua, etc.
متن کاملFurther Results on Borel Removablesets of Entire
In this paper, the following result is proved. Let (R m) be a sequence of real numbers such that lim n!1 R m+1 =R m = +1 and let (' m) be a sequence of real numbers such that 0 ' m 2. Suppose that (0 < <) and S (> 1) are two constants. If E = 1 m=1 D m , where D m = fz = re ii , R m r SR m g n fz = re ii , ' m ? < < ' m + g (m = 1; 2; : : :), then Borel's theorem holds in C n E for every entire...
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On the prime ideals of the ring of entire functions.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1974
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1974-0349972-3