Second order complex differential equations with analytic coefficients in the unit disc
Authors: Zemirni Mohamed Amine, Belaıdi Benharrat
Keywords: complex differential equation; analytic function; [p, q]-order
Abstract:
In this article, we investigate the growth of solutions of second order complex differential equations in which the coefficients are analytic in the unit disc with lower [p,q]-order. We’ve proved similar results as in the case of complex differential equations in the whole complex plane with usual [p,q]-order. We define also new type of order applied on the coefficients to study the growth of solutions.
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