机构地区: 华南师范大学数学科学学院
出 处: 《数学物理学报(A辑)》 2009年第4期918-928,共11页
摘 要: 研究二阶线性微分方程f″+e^(az)f′+h(z)e^(bz)f=0的解以及它们的一阶、二阶、三阶导数,微分多项式取小函数的点的收敛指数,其中a,b是非零复常数且a=cb(c>1),h(z)是非零多项式. This paper investigates the relation between solutions, their 1st, 2nd and 3rd derivatives, differential polynomial of the equation f″+e^azf″+h(z)e^bzf=0 with functions of small growth, where a, b are nonzero complex numbers such that a=cb(c〉1) and h(z) is a nonzero polynomial.