The Generalized Relative Gol‘dberg Order and Type: Some Remarks on Functions of Complex Variables

Generalized relative Gol`dberg order (α,β) and generalized relative Gol`dberg type (α,β) based growth measure of entire functions of several complex variables

Author(s): Tanmay Biswas and Chinmay Biswas

Pp: 98-116 (19)

DOI: 10.2174/9789814998031121010009

* (Excluding Mailing and Handling)

Abstract

In this chapter, we intend to and out generalized relative Gol`dberg order (α,β), generalized relative Gol`dberg type (α,β) and generalized relative Gol`dberg weak type (α,β) of an entire function f of several complex variables with respect to another entire function g of several complex variables when generalized relative Gol`dberg or- der ( γ,β); generalized relative Gol`dberg type (γ,β) and generalized relative Gol`dberg weak type ( γ,β) of f and generalized relative Gol`dberg order (γ,α), generalized relative Gol`dberg type ( γ,α) and generalized relative Gol`dberg weak type (γ,α) of g with re- spect another entire function h of several complex variables are given, where α,βγ are continuous non-negative functions defined on (+∞,-∞).


Keywords: Increasing function, generalized relative Gol`dberg order (α, β), generalized relative Gol`dberg type (α, β), generalized relative Gol`dberg weak type (α, β).

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