Complex Oscillation Theory of Differential Polynomials

Belaïdi, Benharrat; El Farissi, Abdallah

dc.contributor.author	Belaïdi, Benharrat
dc.contributor.author	El Farissi, Abdallah
dc.date.accessioned	2019-06-06T10:02:19Z
dc.date.available	2019-06-06T10:02:19Z
dc.date.issued	2011
dc.identifier.uri	http://e-biblio.univ-mosta.dz/handle/123456789/10659
dc.description.abstract	In this paper, we investigate the relationship between small functions and differential polynomials gf (z) = d2f + d1f + d0f, where d0(z), d1(z), d2(z) are entire functions that are not all equal to zero with ρ(dj) < 1 (j = 0, 1, 2) generated by solutions of the differential equation f + A1(z)eazf + A0(z)ebzf = F, where a, b are complex numbers that satisfy ab(a − b) = 0 and Aj(z) ≡ 0 (j = 0, 1), F(z) ≡ 0 are entire functions such that max {ρ(Aj), j = 0, 1, ρ(F)} < 1.	en_US
dc.publisher	Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica	en_US
dc.subject	Linear differential equations	en_US
dc.subject	differential polynomials	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	Complex Oscillation Theory of Differential Polynomials	en_US
dc.type	Article	en_US