ON SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE FUNCTIONS ON THE BASIS OF THEIR GENERALIZED RELATIVE ORDER $(\alpha,\beta)$

Abstract

In this paper we wish to investigate some interesting results associated with the comparative growth properties of composite entire functions using generalized relative order $(\alpha ,\beta )$ and generalized relative lower order $(\alpha ,\beta ),$ where $\alpha $ and $\beta $ are continuous non-negative functions defined on $(-\infty ,+\infty )$.