Linear differential equations with entire coefficients of [p, q]-order in the complex plane

[摘要] In this paper, we firstly investigate the complex high order linear differential equations in which the coefficients are entire functions of [p, q]-order and obtain some results which improve and generalize some previous results in Cao (2009) [3], Chen and Yang (2000) [4], Heittokangas et al. (2006) [12], Kinnunen (1998) [17], Tu and Yi (2008) [20]. (C) 2010 Elsevier Inc. All rights reserved.

[发布日期] 2010-12-01

[关键词] Linear differential equations;[p, q]-order;[p, q]-type;[p, q] index-pair;[p, q] exponent of convergence of zero sequence