ON SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS FROM THE VIEW POINT OF THEIR GENERALIZED TYPE $(\alpha,\beta)$ AND GENERALIZED WEAK TYPE $(\alpha,\beta)$

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 120

Abstract

The main aim of this paper is to prove some results related to the growth rates of composite entire and meromorphic functions on the basis of their generalized type $(\alpha ,\beta )$ and generalized weak type $(\alpha,\beta ),$ where $\alpha $ and $\beta $ are continuous non-negative functions defined on $(-\infty ,+\infty ).$

Keywords and Phrases

Entire function, meromorphic function, growth, generalized order $ (\alpha ,\beta )$, generalized type $(\alpha ,\beta )$, generalized weak type $(\alpha ,\beta)$.

A.M.S. subject classification

30D35, 30D30.

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