The growth of solutions of complex differential equations with entire coefficient having finite deficient value
Bull. Korean Math. Soc.
Published online July 5, 2021
Guowei Zhang
Anyang Normal University
Abstract : In this paper we study the growth of solutions of second order complex differential equation f′′ + A(z)f′ + B(z)f = 0. We assume one coefficient has a finite deficient value, another coefficient satisfies two different conditions, then the nontrivial solutions of this equation have infinite growth. We also study the case when one of coefficients has Fabry gaps. Moreover, a result about entire function with multiply connected Fatou component is given.
Keywords : entire function, infinite order, complex differential equation
MSC numbers : 30D35; 34M10; 37F10.
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