منابع مشابه
Prime 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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On the prime ideals of the ring of entire functions.
متن کاملA Theorem on Entire Functions
Let G(k) = ∫ 1 0 g(x)e kxdx, g ∈ L1(0, 1). The main result of this paper is the following theorem. THEOREM 1. There exists g 6≡ 0, g ∈ C∞ 0 (0, 1), such that G(kj) = 0, kj < kj+1, limj→∞ kj =∞, limk→∞ |G(k)| does not exist, lim supk→+∞ |G(k)| = ∞. This g oscillates infinitely often in any interval [1− δ, 1], however small δ > 0 is. MSC: 30D15, 42A38, 42A63
متن کاملGrowth analysis of entire functions of two complex variables
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.
متن کاملOn Newton’s Method for Entire Functions
The Newton map Nf of an entire function f turns the roots of f into attracting fixed points. Let U be the immediate attracting basin for such a fixed point of Nf . We study the behavior of Nf in a component V of C \ U . If V can be surrounded by an invariant curve within U and satisfies the condition that for all z ∈ Ĉ, N f ({z}) ∩ V is a finite set, we show that V contains another immediate ba...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1978
ISSN: 0022-247X
DOI: 10.1016/0022-247x(78)90276-7