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THE VALUE DISTRIBUTION AND UNIQUENESS OF ONE CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE POLYNOMIALS

THE VALUE DISTRIBUTION AND UNIQUENESS OF ONE CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE POLYNOMIALS
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摘要 In this article, we investigate the distribution of the zeros and uniqueness of differential-difference polynomialsG(z)=(f^n(f^m(z)-1)∏j=1^d f(z+cj)^vj)^(k)-α(z),H(z)=(f^n(f(z)-1)^m∏j=1^d f(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. In this article, we investigate the distribution of the zeros and uniqueness of differential-difference polynomialsG(z)=(f^n(f^m(z)-1)∏j=1^d f(z+cj)^vj)^(k)-α(z),H(z)=(f^n(f(z)-1)^m∏j=1^d f(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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期719-728,共10页 数学物理学报(B辑英文版)
基金 supported by National Natural Science Foundation of China(11171184)
关键词 MEROMORPHIC UNIQUENESS value distribution differential-difference Meromorphic uniqueness value distribution differential-difference
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