摘要:In this paper, the authors study some growth properties of analytic functions of [ p , q ] -order in the disc and apply them to investigating the growth and zeros of solutions of complex linear differential equations with analytic coefficients of [ p , q ] -order satisfying certain growth conditions in the unit disc, and they obtain some results which are generalizations and improvements of some previous results. MSC:30D35, 34M10.
关键词:linear differential equations ; unit disc ; [ p , q ] -order ; [ p , q ] -exponent of convergence of zero-sequence