Korean J. Math. Vol. 29 No. 1 (2021) pp.105-120
DOI: https://doi.org/10.11568/kjm.2021.29.1.105

Relative logarithmic order of an entire function

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Chinmay Ghosh
Anirban Bandyopadhyay
Soumen Mondal


In this paper, we extend some results related to the growth rates of entire functions by introducing the relative logarithmic order $\rho _{g}^{l}(f)$ of a nonconstant entire function $f$ with respect to another nonconstant entire function $g.$ Next we investigate some theorems related the behavior of $\rho _{g}^{l}(f)$. We also define the relative logarithmic$\ $proximate order of $f$ with respect to $g$ and give some theorems on it.

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