A NOTE ON THE COMPLEX OSCILLATION FOR HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS  被引量:2

A NOTE ON THE COMPLEX OSCILLATION FOR HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIALEQUATIONS

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作  者:高仕安[1] 汤家凤[1] 

机构地区:[1]华南师范大学

出  处:《Annals of Differential Equations》1996年第2期167-172,共6页微分方程年刊(英文版)

摘  要: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.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.

关 键 词:value distribution differential equation complex oscillation 

分 类 号:O175[理学—数学]

 

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