乔建永.整函数及其导函数的素性[J].数学研究及应用,1991,11(2):301~302 |
整函数及其导函数的素性 |
The Primality of an Entire Function and its Derivative |
投稿时间:1989-06-20 修订日期:1990-12-25 |
DOI:10.3770/j.issn:1000-341X.1991.02.035 |
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英文摘要: |
In this paper, we deal with the factorization of entire functions in the sense of composition, and prove the following.Theorem. For any real number ρ≥1, there exists a transcendental entire function F(z) of order p , such that there are infinitely many prime elements and infinitely many composite elements in the class {F(n) n = 0.1, 2, …}. |
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