Complex Oscillation Theory of Differential Polynomials
| 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.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.identifier.uri | http://e-biblio.univ-mosta.dz/handle/123456789/10659 | |
| 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 |