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Iterated order of meromorphic soloutions of homogeneous and nonhomogeneous linear differential equations

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dc.contributor.author Belaıdi, Benharrat
dc.date.accessioned 2019-05-30T11:30:23Z
dc.date.available 2019-05-30T11:30:23Z
dc.date.issued 2015
dc.identifier.uri http://e-biblio.univ-mosta.dz/handle/123456789/10489
dc.description.abstract In this paper, we investigate the iterated order of meromorphic solutions of homogeneous and non-homogeneous to higher order linear differential equations f (k) + Σk−1 j=1 Aj f ( j) + A0 f = 0 (k > 2) , f (k) + Σk−1 j=1 Aj f ( j) + A0 f = F (k > 2) , where Aj (z) ( j = 0, 1, · · · , k − 1) and F (z) are meromorphic functions with finite iterated p−order. Under some conditions on the coefficients, we show that all meromorphic solutions f . 0 of the above equations have an infinite iterated p−order and infinite iterated lower p−order. Furthermore, we give some estimates of iterated convergence exponent. We improve the results due to Chen; Shen and Xu; He, Zheng and Hu and others. en_US
dc.publisher Romai J en_US
dc.subject linear differential equations en_US
dc.subject meromorphic functions en_US
dc.subject iterated order en_US
dc.subject iterated exponent of convergence of zeros. en_US
dc.title Iterated order of meromorphic soloutions of homogeneous and nonhomogeneous linear differential equations en_US
dc.type Article en_US


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