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Fixed points of the derivative and \(k\)-th power of solutions of complex linear differential equations in the unit disc. (English) Zbl 1188.30047
Summary: We consider the question of existence of fixed points of the derivatives of solutions of complex linear differential equations in the unit disc. This work improves some very recent results of T.-B. Cao [J. Math. Anal. Appl. 352, No. 2, 739–748 (2009; Zbl 1160.34357)].

MSC:
30E99 Miscellaneous topics of analysis in the complex plane
34M99 Ordinary differential equations in the complex domain
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