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

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 34

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 $(-\infty ,+\infty )$.

Keywords and Phrases

Entire function, growth, composition, generalized relative order $(\alpha ,\beta )$, generalized relative lower order $(\alpha ,\beta )$.

A.M.S. subject classification

30D35, 30D30, 30D20.

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