On complex oscillation and a problem of Ozawa

[摘要] References(13)It is shown that if Q(z) is a non-constant polynomial, then all non-trivial solutions of y''+(ez+Q(z))y=0 have zeros with infinite exponent of convergence. Similar methods are used to settle a problem of M. Ozawa: if P(z) is a non-constant polynomial, all non-trivial solutions of y''+e−zy'+P(z)y=0 have infinite order.

[学科分类] 数学（综合）