On the construction of solutions of linear differential equations according to given sequences

We consider the problem under what conditions the equation $f\prime \prime + Af = 0$ possesses an entire (meromorphic) solution with given sequences of zeros (poles) and critical points. The results are extended to equations of higher orders.

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Bibliographic Details
Date:2017
Main Authors: Shavala, O. V., Шавала, О. В.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1793
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal