Abstract
Consider the complex nonlinear differential equation where are complex coefficients, and be a complex function performs non- homogeneous term of given equation.
 In this paper, we investigated that is a remarkable solution of given equation and belongs to hardy space ; with studying the growth of that solution by two ways ; through the maximum modulus and Brennan’s Conjecture and another by finding the supremum function of a volume of the surface area . Furthermore, we discussed the solution behaviour with meromorphic coefficients properties for given equation.
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