Korean J. Math.  Vol 29, No 1 (2021)  pp.121-136
DOI: https://doi.org/10.11568/kjm.2021.29.1.121

Some generalized growth properties of composite entire and meromorphic functions

Tanmay Biswas, Chinmay Biswas

Abstract


In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic functions with their corresponding left and right factors on the basis of their generalized order $(\alpha ,\beta )$ and generalized lower order $(\alpha ,\beta )$, where $\alpha $ and $\beta $ are continuous non-negative functions defined on $(-\infty ,+\infty ).$


Keywords


Entire function, meromorphic function, growth, composition, generalized order (α,β)

Subject classification

30D35, 30D30

Sponsor(s)



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