Mohamed Abdelhak Kara, Benharrat Belaïdi

Fast Growing Solutions of Linear Differential Equations with Meromorphic Coefficients

In this paper, we use the concept of j-order to investigate under suitable conditions the growth and the oscillation of solutions of higher order linear differential equations with meromorphic coefficients on the complex plane. Many existing results due to Li-Cao, Hu-Zheng, Kara-Belaïdi will be revisited and extended for the lower j-order and the j-convergence exponent.

Mathematics Subject Classification: 34M10, 30D35

Key words and phrases: Meromorphic function, j-order, j-type, j-convergence exponent