| GROWTH OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH SOLUTIONS OF ANOTHER EQUATION AS COEFFICIENTS |
| M. Chetti, K. Hamani |
Abstract In this paper, we study the growth of higher order linear differential equations, where some coefficients are non-trivial solutions of certain second order linear differential equations. Some conditions guaranteeing that every non-trivial solution of the equation is of infinite order are obtained, in which the notion of accumulation rays of the zero sequence of an entire function is used.
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Keywords: Linear differnetial equation; entire function; order of growth; asymptotic growth. |
MSC: 34M10, 30D35 |
DOI: 10.57016/MV-SGCNf975 |
Pages: 1--11 |
