In this article, we study the growth of solutions of the linear differential equation
where is an integer, are nonconstant polynomials and are entire functions, not identically zero. We determine the hyper-order of these solutions, under certain conditions.
Submitted February 3, 2010. Published May 8, 2010.
Math Subject Classifications: 34A20, 30D35.
Key Words: Linear differential equation; entire function; hyper-order.
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| Karima Hamani |
Department of Mathematics
Laboratory of Pure and Applied Mathematics
University of Mostaganem, B. P. 227 Mostaganem, Algeria
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