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ON MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH AT LEAST ONE TRANSCENDENTAL COEFFICIENTS

机译:用至少一个超越系数的线性微分方程的亚纯解

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Applying a result obtained in [TK], we investigate the zero-distribution of fundamental solutions of some linear differential equations with at least one transcendental coefficient, and compare the results with some of the well-known results on equations with the polynomial coefficients. Results corresponding to Frank's theorem [F] on exceptional fundamental sets and a theorem due to Frank and Hellerstein [F-H] on non-homogeneous equations are obtained.
机译:应用在[TK]中获得的结果,研究了一些线性微分方程的基本解的零分布,具有至少一个超晶系数,并将结果与​​多项式系数的方程上的一些众所周知的结果进行比较。获得了对应于非均匀方程上坦率和Hellerstein [F-H]的特殊基本集和定理的弗兰克定理[F]的结果。

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