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

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Derivation of some inequalities using 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: 71-97 (27)

DOI: 10.2174/9789814998031121010008

* (Excluding Mailing and Handling)

Abstract

In this chapter,we establish some important relations relating to generalized relative Gol`dberg type and weak type (α,β) with generalized Gol`dberg type and weak type (α,β) of entire functions of n complex variables, where α,β are continuous non- negative functions defined on (-∞,+∞).

Keywords: Generalized Gol’dberg order (α, β), generalized Gol’dberg lower order (α, β), generalized Gol’dberg type (α, β), generalized Gol’dberg weak type (α, β); generalized rel- ative 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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