On the Growth of Solutions of Second Order Non-Homogeneous Differential Equations with Meromorphic Coefficients
Qiu Ling
Abstract
Qiu Ling
Abstract
In this paper,we investigate the growth of infinite order meromorphic solutions of second order non-homogeneous differential equations with meromorphic coefficients f ″+A(z)f ′+B(z)f=F.For most of meromorphic solutions,we obtain some precise estimates for their hyper-order.
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In this paper,we investigate the growth of infinite order meromorphic solutions of second order non-homogeneous differential equations with meromorphic coefficients f ″+A(z)f ′+B(z)f=F.For most of meromorphic solutions,we obtain some precise estimates for their hyper-order.
Key concepts: Meromorphic function, Homogeneous, Order (exchange), Mathematics, Homogeneous differential equation, Differential equation, Differential (mechanical device), Mathematical analysis