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Growth of solutions of higher order linear differential equations

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dc.contributor.author Belaïdi, Benharrat
dc.contributor.author El Farissi, Abdallah
dc.date.accessioned 2019-06-03T11:25:17Z
dc.date.available 2019-06-03T11:25:17Z
dc.date.issued 2014
dc.identifier.uri http://e-biblio.univ-mosta.dz/handle/123456789/10638
dc.description.abstract This paper is devoted to studying the growth of solutions of the higher order nonhomogeneous linear differential equation f (k)+ A k− 1 f (k− 1)+...+ A 2 f"+(D 1 (z)+ A 1 (z) e P (z)) f'+(D 0 (z)+ A 0 (z) e Q (z)) f= F (k≥ 2), where P (z), Q (z) are nonconstant polynomials such that deg P= degQ= n and Aj (z)(j= 0, 1,..., k− 1), F (z) are entire functions with max {p (Aj)(j= 0, 1,..., k− 1), p (Dj)(j= 0, 1)}< n. We also investigate the relationship between small functions and the solutions of the above equation. en_US
dc.publisher Mathematical Journal of Okayama University en_US
dc.subject Linear differential equations en_US
dc.subject entire solutions en_US
dc.subject Order of growth en_US
dc.subject Exponent of convergence of zeros en_US
dc.subject Exponent of convergence of distinct zeros en_US
dc.title Growth of solutions of higher order linear differential equations en_US
dc.type Article en_US


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