Uniqueness of Difference Operators of Entire Functions

LI Qian; WU Xiaoying

doi:10.6054/j.jscnun.2019074

Journal of South China Normal University (Natural Science Edition) > 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

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Uniqueness of Difference Operators of Entire Functions

LI Qian¹,
WU Xiaoying^2, ,

1.
College of Mathematics and Informatics, South China Agricultural University, Guangzhou 510640, China
2.
School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou 510521, China

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Received Date: September 29, 2018
Available Online: March 21, 2021

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Abstract

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.
- entire function,
- shift,
- difference operator,
- uniqueness

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References

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