Glasnik Matematicki, Vol. 43, No.2 (2008), 363-373.

DIFFERENTIAL POLYNOMIALS GENERATED BY SOME COMPLEX LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS

Benharrat Belaidi and Abdallah El Farissi

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(d_j) < n (j = 0,1,2) generated by some second order linear differential equations with meromorphic coefficients.

2000 Mathematics Subject Classification.   34M10, 30D35.

Key words and phrases.   Linear differential equations, meromorphic solutions, order of growth, exponent of convergence of zeros, exponent of convergence of distinct zeros.

DOI: 10.3336/gm.43.2.09

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