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

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