关于整函数的微分多项式 |
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引用本文: | 张占亮. 关于整函数的微分多项式[J]. 贵州师范大学学报(自然科学版), 1997, 15(1): 90-96 |
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作者姓名: | 张占亮 |
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作者单位: | 山东菏泽师范专科学校 |
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摘 要: | 设f为超越整函数。本文证明了,对于任意正整数n,m,fn(f)m取任意非零有穷复数无穷多次。另外,对于形如fnQ1[f]+Q2[f](这里Q1[f]、Q2[f]为f的微分多项式)的函数,改进了W.Doeringer在文献[4]中的结果
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关 键 词: | 整函数,微分多项式 |
ON DIFFERENTIAL POLYNOMIALS OF ENTIVES Zhang Zhanliang |
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Abstract: | Let f be a transcendental entire, in this paper, it is shown that f n(f) m assumes all finite values except possibly zero infinitely often for positive integers n.m. Also, Doeringer's results in are improved for a function of the form f nQ 1+Q 2, where Q 1、Q 2 are differential polynomials in f. |
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Keywords: | Transceadental entires Differential polynomials |
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