Document Type : Research Paper

Authors

• Sanjib Kumar Datta ¹
• Tanmay Biswas ²
• Sarmila Bhattacharyya ³

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

Abstract

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.

Keywords

• Entire function
• Maximum modulus
• maximum term
• composition
• Growth
• relative L*-order ( relative L*-lower order)
• slowly changing function