On the sequences of zeros of holomorphic solutions of linear second-order differential equations |
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| Authors: | B V Vinnitskii E V Shavala |
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| Affiliation: | 1.Drogobych State Pedagogical University,Drogobych,Ukraine |
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| Abstract: | We find necessary and sufficient conditions under which a finite or infinite sequence of complex numbers is the sequence of zeros of a holomorphic solution of the linear differential equation f″ + a 0 f = 0 with a meromorphic coefficient a 0 that has second-order poles. In addition, we present a criterion for all solutions of second-order linear equations to be meromorphic. |
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