期刊文献+

关于整函数及其k阶导数的唯一性 被引量:1

The Uniqueness of an Entire Function and Its K-TH Derivative
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摘要 在亏量和等于1的条件下,证明了整函数及其k阶导数具有2个IM公共小函数的整函数的1个唯一性定理,部分回答了李平和杨重骏于2002年提出的1个问题,并改进了先前已有的结果。 In this paper, we obtain a uniqueness theorem for an entire function sharing two distinct small functions with its k-th derivative on the condition that the sum of the deficient values equals unity. The result in this paper partly answers a question posed by Ping-Li and C. C. Yang in 2000 and improves many known results.
出处 《中国海洋大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第6期917-920,共4页 Periodical of Ocean University of China
基金 国家自然科学基金天元基金项目(A0324617)资助
关键词 整函数 公共值 公共小函数 亏值 唯一性. entire function shared value shared small function deficient value uniqueness
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参考文献6

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  • 2Rubel L, Yang C C. Values shared by an entire function and its derivative [A]. Lecture Notes in Mathematics [R]. Berlin: Springer-Verlag, 1977.
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二级参考文献1

  • 1潘承洞,阶的估计,1983年

共引文献6

同被引文献10

  • 1Hayman W K. Meromorphic functions [ M]. Oxford: The Clarendon Press, 1964.
  • 2Alzahary T C, Yi H X. Weighted sharing three values and uniqueness of meromorphie functions [J ]. J Math Anal Appl, 2004, 295 ( 1 ) : 247-257.
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  • 4Yang L Z. Entire functions that share finite values with their derivatives [J]. Bull Austral Math Soc, 1990, 41(4): 337-342.
  • 5Lahiri I. Weighted sharing of three values and uniqueness of meromorphic functions [J]. Kodai Math J, 2001, 24(3): 421-435.
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  • 9Qiu G D. Uniqueness of entire functions that share some small functions [J]. Kodai Math J, 2000, 23(1): 1-11.
  • 10Clunie J. On integral and meromorphic functions [ J ]. J London Math Soc, 1962, 37(1): 17-27.

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