Relative orders and slowly changing functions oriented growth analysis of composite entire functions

Document Type : Research Paper


1 Department of Mathematics,University of Kalyani, Kalyani, Dist-Nadia, PIN- 741235, West Bengal, India

2 Rajbari, Rabindrapalli, R. N. Tagore Road, P.O. Krishnagar, P.S.- Kotwali, Dist-Nadia, PIN- 741101, West Bengal, India

3 Jhorehat F. C. High School for Girls, P.O.- Jhorehat, P.S.- Sankrail, Dist-Howrah, PIN- 711302, West Bengal, India


In the paper we establish some new results depending on the comparative growth properties of composition of entire functions using relative $L^{\ast }$-order (relative $L^{\ast }$-lower order) as compared to their corresponding left and right factors where $L\equiv L(r)$ is a slowly changing function.