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 |
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.
.....