Acta mathematica scientia, Series B >
THE VALUE DISTRIBUTION AND UNIQUENESS OF ONE CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE POLYNOMIALS
Received date: 2012-11-16
Revised date: 2013-04-23
Online published: 2014-05-20
Supported by
This article is supported by National Natural Science Foundation of China (11171184).
In this article, we investigate the distribution of the zeros and uniqueness of differential-difference polynomials
G(z) = (fn(fm(z) − 1)∏dj=1f(z + cj )vj )(k)− α(z),
H(z) = (fn(f(z) − 1)m∏dj=1f(z + cj )vj )(k)− α(z),
where f is transcendental entire function of finite order, cj(j = 1, 2, · · · , d), n, m, d, and vj (j = 1, 2, · · · , d) are integers, and obtain some theorems, which extended and improved many previous results.
Key words： Meromorphic; uniqueness; value distribution; differential-difference
ZHANG Ke-Yu , YI Hong-Xun . THE VALUE DISTRIBUTION AND UNIQUENESS OF ONE CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE POLYNOMIALS[J]. Acta mathematica scientia, Series B, 2014 , 34(3) : 719 -728 . DOI: 10.1016/S0252-9602(14)60043-6
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