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- Title
The periodicity on a transcendental entire function with its differential-difference polynomials.
- Authors
Yong Liu; Shuai Jiang
- Abstract
According to a conjecture by C. C. Yang [Houston J Math 45 (2019):431-437], if ω(z)ω(k)(z) is a periodic function, where ω(z) is a transcendental entire function and k is a positive integer, then ω(z) is also a periodic function. We consider the related questions, which can be viewed as differential-difference versions of Yang's conjecture. We discuss the periodicity of a transcendental entire function ω(z) when differential-difference polynomials in ω(z) are periodic.
- Subjects
INTEGRAL functions; TRANSCENDENTAL functions; PERIODIC functions; DIFFERENTIAL-difference equations; MATHEMATICS; POLYNOMIALS
- Publication
ScienceAsia, 2022, Vol 48, Issue 6, p759
- ISSN
1513-1874
- Publication type
Article
- DOI
10.2306/scienceasia1513-1874.2022.097