| A NOTE ON THE COMPLEX OSCILLATION FOR HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS |
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| 引用本文： | 高仕安,汤家凤.A NOTE ON THE COMPLEX OSCILLATION FOR HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,1996(2). |
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| 作者姓名： | 高仕安 汤家凤 |
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| 摘 要： | ＡＮＯＴＥＯＮＴＨＥＣＯＭＰＬＥＸＯＳＣＩＬＬＡＴＩＯＮＦＯＲＨＩＧＨＥＲＯＲＤＥＲＨＯＭＯＧＥＮＥＯＵＳＬＩＮＥＡＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＧａｏＳｈｉａｎ（高仕安）＆ＴａｎｇＪｉａｆｅｎｇ（汤家凤）（ＳｏｕｔｈＣｈｉｎａＮｏｒｍ...
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A NOTE ON THE COMPLEX OSCILLATION FOR HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIALEQUATIONS |
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| 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. |
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| Keywords: | value distribution differential equation complex oscillation |
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