In this paper, we investigate the properties of solutions of some linear difference equations with meromorphic coefficients, and obtain some estimates on growth and value distribution of these meromorphic solutions.
In this paper, a class of higher order linear differential equation is investigated. The order and the hyper-order of the solutions of the equation are exactly estimated under some certain conditions.
In this paper, we investigate the growth of solutions of the differential equations f^((k))+ A_(k-1)(z)f^((k-1))+ ··· + A_0(z)f = 0, where A_j(z)(j = 0, ···, k-1) are entire functions.Whe...In this paper, we investigate the growth of solutions of the differential equations f^((k))+ A_(k-1)(z)f^((k-1))+ ··· + A_0(z)f = 0, where A_j(z)(j = 0, ···, k-1) are entire functions.When there exists some coefficient A_s(z)(s ∈ {1, ···, k-1}) being a nonzero solution of f''+P(z)f = 0, where P(z) is a polynomial with degree n(≥ 1) and A_0(z) satisfies σ(A_0) ≤1/2 or its Taylor expansion is Fabry gap, we obtain that every nonzero solution of such equations is of infinite order.展开更多
基金The NSF(11661044,11201195) of Chinathe NSF(20132BAB201008) of Jiangxi Province
文摘In this paper, we investigate the properties of solutions of some linear difference equations with meromorphic coefficients, and obtain some estimates on growth and value distribution of these meromorphic solutions.
基金This work is supported by the National Natural Science Foundation of China(No.10571028)the Ph.D. Programs Foundation of Higher Education of China (No.20050574002)the Natural Science Foundation of Guangdong Province (No.06025059).
文摘In this paper, a class of higher order linear differential equation is investigated. The order and the hyper-order of the solutions of the equation are exactly estimated under some certain conditions.
基金Supported by the National Natural Science Foundation of China(11201195)Supported by the Natural Science Foundation of Jiangxi Province(20122BAB201012,20132BAB201008)
文摘In this paper, we investigate the growth of solutions of the differential equations f^((k))+ A_(k-1)(z)f^((k-1))+ ··· + A_0(z)f = 0, where A_j(z)(j = 0, ···, k-1) are entire functions.When there exists some coefficient A_s(z)(s ∈ {1, ···, k-1}) being a nonzero solution of f''+P(z)f = 0, where P(z) is a polynomial with degree n(≥ 1) and A_0(z) satisfies σ(A_0) ≤1/2 or its Taylor expansion is Fabry gap, we obtain that every nonzero solution of such equations is of infinite order.
