李倩, 吴小英. 整函数差分算子的唯一性[J]. 华南师范大学学报(自然科学版), 2019, 51(4): 108-112. doi: 10.6054/j.jscnun.2019074
引用本文: 李倩, 吴小英. 整函数差分算子的唯一性[J]. 华南师范大学学报(自然科学版), 2019, 51(4): 108-112. doi: 10.6054/j.jscnun.2019074
LI Qian, WU Xiaoying. Uniqueness of Difference Operators of Entire Functions[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(4): 108-112. doi: 10.6054/j.jscnun.2019074
Citation: LI Qian, WU Xiaoying. Uniqueness of Difference Operators of Entire Functions[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(4): 108-112. doi: 10.6054/j.jscnun.2019074

整函数差分算子的唯一性

Uniqueness of Difference Operators of Entire Functions

  • 摘要: 利用复域差分方程的方法, 研究差分多项式的唯一性问题, 在某一个整函数具有正的亏值假设下, 证明了2个不同整函数的差分算子CM分担某值时的唯一性问题, 所得结果可以看作微分情形的差分模拟.

     

    Abstract: Under the assumption that a given entire equation has positive deficiency and with the method of complex difference equations, some results about the uniqueness of difference operators of finite order entire functions sharing values with the same multiplicities are presented. These findings can be seen as the difference analogue of differential cases.

     

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