Growth and oscillation theory of solutions of some linear differential equations

Authors

  • Benharrat Belaïdi Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem, B. P 227 Mostaganem–(Algeria) Author

Keywords:

Linear differential equations, Meromorphic solutions, Hyper order, Exponent of convergence of the sequence of distinct zeros, Hyper exponent of convergence of the sequence of distinct zeros

Subjects:

34M10, 30D35

Abstract

The basic idea of this paper is to considerfixed points of solutions of the differential equation f(k)+A(z)f=0, k2, where A(z) is atranscendental meromorphic function with ρ(A)=ρ>0.Instead of looking at the zeros of f(z)z, we proceed to aslight generalization by considering zeros of f(z)φ(z), where φ is a meromorphic function of finiteorder, while the solution of respective differential equation is of infiniteorder.

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Published

2008-10-15