【摘要】 ＡＮＯＴＥＯＮＴＨＥＣＯＭＰＬＥＸＯＳＣＩＬＬＡＴＩＯＮＦＯＲＨＩＧＨＥＲＯＲＤＥＲＨＯＭＯＧＥＮＥＯＵＳＬＩＮＥＡＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＧａｏＳｈｉａｎ（高仕安）＆ＴａｎｇＪｉａｆｅｎｇ（汤家凤）（ＳｏｕｔｈＣｈｉｎａＮｏｒｍ...更多还原

【Abstract】 In this paper, we are concerned with the maximum number of linearly independent transcendental solutions with finite exponent of convergence of the zeros for a higher order homogeneous linear differential equation where its coefficients are entire functions with order less than 1/2 and one dominant. The result obtained here is an extension and a complement of J. K. Langley’s.更多还原