Original scientific paper

https://doi.org/10.3336/gm.43.2.09

Differential polynomials generated by some complex linear differential equations with meromorphic coefficients

Benharrat Belaidi ; Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem, B. P 227 Mostaganem, Algeria
Abdallah El Farissi ; Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem, B. P 227 Mostaganem, Algeria

Abstract

In this paper, we investigate the relationship between small functions and differential polynomials g(z) = d2f'' + d1f' + d0f, where d0(z), d1(z), d2(z) are meromorphic functions which are not all equal to zero with ρ(dj) < n (j = 0,1,2) generated by some second order linear differential equations with meromorphic coefficients.

Keywords

Linear differential equations; meromorphic solutions; order of growth; exponent of convergence of zeros; exponent of convergence of distinct zeros

Hrčak ID:

28901

URI

https://hrcak.srce.hr/28901

Publication date:

10.11.2008.

Visits: 1.086 *