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On the zeros and hyper-order of meromorphic solutions of linear differential equations. (English) Zbl 0923.34002

Other researchers studied the zeros of meromorphic solutions of second-order linear differential equations. Here, the authors investigate the exponent of convergence of the zeros and the hyper-order of meromorphic solutions to higher-order homogeneous linear differential equations with transcendental coefficients with a view to generalize known types of problems.

MSC:

34M05 Entire and meromorphic solutions to ordinary differential equations in the complex domain
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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