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

Generalized relative Gol`dberg type (α,β) and generalized relative Gol`dberg weak type (α,β) of entire functions of several complex variables

Author(s): Tanmay Biswas and Chinmay Biswas

Pp: 49-70 (22)

DOI: 10.2174/9789814998031121010007

* (Excluding Mailing and Handling)

Abstract

In this chapter, we develop some growth properties of entire functions of n complex variables relating to generalized relative Gol`dberg order (α,β); generalized rel- ative Gol`dberg type (α,β) and generalized relative Gol`dberg weak type (α,β):We also establish integral representations of generalized relative Gol`dberg type and weak type (α,β) of entire function of several complex variables and derive some interesting results, where α,β are continuous non-negative functions defined on (-∞,+∞).


Keywords: Generalized relative Gol`dberg order (α, β); generalized relative Gol`dberg lower order (α, β); generalized relative Gol`dberg type (α, β), generalized relative Gol`dberg weak type (α, β); increasing function.

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