Glasnik matematički, Vol. 43 No. 2, 2008.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Linear differential equations; meromorphic solutions; order of growth; exponent of convergence of zeros; exponent of convergence of distinct zeros
Hrčak ID:
28901
URI
Datum izdavanja:
10.11.2008.
Posjeta: 1.116 *