一类高阶整函数系数微分方程的解的性质  

THE PROPERTIES OF SOLUTIONS OF A CERTAIN HIGHER ORDER DIFFERENTIAL EQUATION WITH ENTIRE FUNCTION COEFFICIENTS

作　　者：毛志强[1] 

机构地区：[1]江西科技师范学院数学系,江西南昌330013

出　　处：《南昌大学学报（理科版）》2002年第2期178-180,204,共4页Journal of Nanchang University(Natural Science)

摘　　要：研究了当a为非零多项式 ,m >0为实常数 ,A(z)为有限级超越整函数且σ(A)≠ 1,F≠ 0为有限级整函数时 ,方程 f(k) +aemzf′+Af =F解的增长级和零点收敛指数及其对应的齐次方程 f(k) +aemzf′+AfThe order of growth and the exponent of convergence of zerosequence of solutions for solving equation f (k) +ae mz f′+Af=F have been investignated,the order of growth and the exponent of convergence of fixed-points of solutions for solving its corresponding homogeneous differentical equatioin f (k) +ae mz f′+Af=0 have also been discussed,where a is a nonconstant polynomial,m>0 is a real constant,A is a finite order transcendental entire function and σ(A)≠1,F≠0 is finite order entier function.

关 键 词：整函数系数微分方程 解 有限级超越整函数 增长级 零点收敛指数 值分布论 不动点收敛指数 

分 类 号：O241.81[理学—计算数学] O174.52[理学—数学]