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Growth of solutions and oscillation of differential polynomials generated by some complex linear differential equations

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dc.contributor.author Belaidi, Benharrat
dc.contributor.author El Farissi, Abdallah
dc.date.accessioned 2019-05-30T12:24:35Z
dc.date.available 2019-05-30T12:24:35Z
dc.date.issued 2010
dc.identifier.uri http://e-biblio.univ-mosta.dz/handle/123456789/10514
dc.description.abstract This paper is devoted to studying the growth and the oscillation of solutions of the second order non-homogeneous linear differential equation f00 + A1(z)eP(z) f0 + A0(z)eQ(z) f = F; where P(z), Q(z) are nonconstant polynomials such that deg P = degQ = n and Aj (z) (6´ 0) (j = 0; 1), F 6´ 0 are entire functions with ½(Aj ) < n (j = 0; 1). We also investigate the relationship between small functions and differential polynomials gf (z) = d2f00 + d1f0 + d0f, where d0(z), d1(z), d2(z) are entire functions that are not all equal to zero with ½(dj ) < n (j = 0; 1; 2) generated by solutions of the above equation. en_US
dc.publisher Hokkaido Mathematical Journal 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 and oscillation of differential polynomials generated by some complex linear differential equations en_US
dc.type Article en_US


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