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The Growth and Borel Direction of Solutions for Differential Equation f ″+Af ′+Bf=0 in Angular Domains

YI Cai-feng,LIU Xu-qiang(College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China)  
The growth and Borel direction of solutions in angular domains for differential equation f ″+Af ′+Bf=0 is investigated where A(z) and B(z) are entire functions,by using the fundamental theory and method of value distribution in angular domain.Under some conditions,it is proved that every solution f≠0 of the equation is of infinite order in any angular domain which has λ order Borel direction of B(z),and the ∞order Borel direction of the solution is unanimous with the λ order Borel direction of B(z).
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