GROWTH ESTIMATES FOR SOLUTIONS OF LINEAR COMPLEX DIFFERENTIAL EQUATIONS

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Weighted Bergman spaces induced by rapidly incresing weights (2012, methodology): “estimates for solutions [43], a representation of coefficients in terms of ratios of linearly independent solutions [51], integrated generalized logarithmic derivative estimates [22], the order reduction procedure [35] as well as lemmas on weights proved in Section 1.”
A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain (2013, background): “In recent years, the studies on complex differential equations, such as a geometric approach based on meromorphic function in arbitrary domains [3], a topological description of solutions of some complex differential equations with multivalued coefficients [4], the zero distribution [5], growth esti”
Fast Growing Solutions of Linear Differential Equations in the Unit Disc (2006, result): “The first auxiliary result follows by [10, Theorem 5.1] or [ 10, Theorem 4.1 ].”