HIGHER ORDER COMPLEX DIFFERENTIAL EQUATIONS WITH ANALYTIC COEFFICIENTS IN THE UNIT DISC
Received:March 08, 2019  Revised:April 30, 2019
Key Word: Complex differential equation, [p   q]-order of growth, [p, q]-type, analytic function, the unit disc.  
Fund ProjectL:The National Natural Science Foundation of China (Grant No. 11861023, 11501142)
Author NameAffiliationE-mail
Sangui Zeng Guizhou Normal University 1033325326@qq.com 
Jianren Long Guizhou Normal University longjianren2004@163.com 
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Abstract:
      The growth of solutions of the following differential equation f ^{(k)} + A_{k?1}(z)f^{ (k?1)} + · · · + A_{1}(z)f`+ A_{0}(z)f = 0is studied, where A_{j}(z) are analytic in the unit disc D = {z : jzj < 1},where j = 0,1,..., k?1. Some precise estimate of [p, q]-order of solutions of the equation are obtained by using a notion of new [p, q]-type on coefficients.
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