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Your search keyword '"Wei-Ran Lü"' showing total 4 results
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4 results on '"Wei-Ran Lü"'

1. On Entire Function Solutions to Fermat Delay-Differential Equations

Author

Xue-Ying Zhang, Ze-Kun Xu, and Wei-Ran Lü

Subjects
entire function, meromorphic function, nonlinear delay-differential equation, growth, Mathematics, QA1-939
Abstract

This paper concerns the existence and precise expression form of entire solutions to a certain type of delay-differential equation. The significance of our results lie in that we generalize and supplement the related results obtained recently.

Published
2022
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2. Entire solutions of differential equations that are related to trigonometric identities

Author

Wei-Ran Lü, Tuen-Wai Ng, Gary G. Gundersen, and Chung-Chun Yang

Subjects
Pure mathematics, Monomial, Binomial (polynomial), Differential equation, Applied Mathematics, Trigonometry, Analysis, Mathematics
Abstract

We prove results concerning entire solutions of non-linear binomial differential equations that have connections to trigonometric identities. We also prove a double inequality for the growth of entire solutions of non-linear monomial differential equations. Some open questions are posed.

Published
2022
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4. Unicity theorems for meromorphic functions

Author

Hong-Xun Yi and Wei-Ran Lü

Subjects
Pure mathematics, Nevanlinna theory, General Mathematics, 30D30, Creating shared value, 30D20, Uniqueness theorem for Poisson's equation, 30D35, Calculus, Uniqueness, unicity theorem, shared value, Meromorphic function, Mathematics
Abstract

In this paper, we deal with the problem of uniqueness of meromorphic functions sharing three values, and prove some results which are improvements and extensions of many known theorems. Examples are provided to show that the results in this paper are sharp.

Published
2002

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