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Oscillation of fixed points of solutions of some linear differential equations. (English) Zbl 1174.34528

Linear differential equations \[ f^{(k)}+A(z)f=0,\;k\geq 2, \] are considered for transcendental meromorphic functions \(A\) of finite orders. It is shown that under certain conditions \(f\), \(f',\cdots,f^{(k)}\) have infinitely many fixed points. This result is a consequence of a more general achievement on solutions of the above equation.

MSC:

34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain
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