On the sequences of zeros of holomorphic solutions of linear second-order differential equations |
| |
Authors: | B. V. Vinnitskii E. V. Shavala |
| |
Affiliation: | 1.Drogobych State Pedagogical University,Drogobych,Ukraine |
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |