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

Sum and product theorems depending on the generalized relative Gol`dberg order (α,β) and generalized relative Gol`dberg type (α,β)

Author(s): Tanmay Biswas and Chinmay Biswas

Pp: 117-146 (30)

DOI: 10.2174/9789814998031121010010

* (Excluding Mailing and Handling)

Abstract

In this chapter, we proved some results about sum and product theorems de- pending on the generalized relative Gol`dberg order (α,β) ;generalized relative Gol`dberg lower order (α,β), generalized relative Gol`dberg type (α,β) and generalized relative Gol`dberg weak type (α,β) of entire function of n complex variables with respect to another entire function of n complex variables, where α,β are continuous non-negative functions de…ned on (+∞,-∞).


Keywords: In this chapter, we proved some results about sum and product theorems de- pending on the generalized relative Gol`dberg order (α, β) ;generalized relative Gol`dberg lower order (α, β), generalized relative Gol`dberg type (α, β) and generalized relative Gol`dberg weak type (α, β) of entire function of n complex variables with respect to another entire function of n complex variables, where α, β are continuous non-negative functions defined on (+∞, -∞).

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