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 : 29

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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