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.
基金
supported by National Natural Science Foundation of China(11171184)