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 Ural Math. J., 2020, Volume 6, Issue 1, Pages 95–113 (Mi umj114)

Growth of $\phi$-order solutions of linear differential equations with meromorphic coefficients on the complex plane

Mohamed Abdelhak Kara, Benharrat Belaïdi

Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB)

Abstract: In this paper, we study the growth of solutions of higher order linear differential equations with meromorphic coefficients of $\phi$-order on the complex plane. By considering the concepts of $\phi$-order and $\phi$-type, we will extend and improve many previous results due to Chyzhykov-Semochko, Belaïdi, Cao-Xu-Chen, Kinnunen.

Keywords: Linear differential equations, Entire function, Meromorphic function, $\phi$-order, $\phi$-type.

 Funding Agency Grant Number Directorate-General for Scientific Research and Technological Development This work was supported by the Directorate-General for Scientific Research and Technological Development (DGRSDT).

DOI: https://doi.org/10.15826/umj.2020.1.008

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Citation: Mohamed Abdelhak Kara, Benharrat Belaïdi, “Growth of $\phi$-order solutions of linear differential equations with meromorphic coefficients on the complex plane”, Ural Math. J., 6:1 (2020), 95–113

Citation in format AMSBIB
\Bibitem{KarBel20} \by Mohamed Abdelhak~Kara, Benharrat~Bela{\"\i}di \paper Growth of $\phi$-order solutions of linear differential equations with meromorphic coefficients on the complex plane \jour Ural Math. J. \yr 2020 \vol 6 \issue 1 \pages 95--113 \mathnet{http://mi.mathnet.ru/umj114} \crossref{https://doi.org/10.15826/umj.2020.1.008} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=MR4128763} \zmath{https://zbmath.org/?q=an:07255690} \elib{https://elibrary.ru/item.asp?id=43793627} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85089113666}