ON THE RELATIVE ORDER AND LOWERRELATIVE ORDER OF AN ENTIRE FUNCTION

摘要

Following Bernal (1988) we have considered the relative order pg(f) of an entire function frelative to the entire function g. We have obtained a few relations between pg(f), p(f), p(g) where p(f), p(g)are classical orders of f and g respectively. We have also found out a formula which expresses p9(f) in terms ofthe coefficients of the power series expansions of f and g. We have also introduced the concept of lower relativeorder λ_9(f)offrelative togand obtained a few properties of them.