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

Generalized relative Gol`dberg order (α,β) of entire functions of several complex variables

Author(s): Tanmay Biswas and Chinmay Biswas

Pp: 30-42 (13)

DOI: 10.2174/9789814998031121010005

* (Excluding Mailing and Handling)

Abstract

The aim of the chapter is to introduce the concepts of generalized relative Gol`dberg order (α,β); generalized relative hyper Gol`dberg order (α,β), and generalized relative logarithmic Gol`dberg order (α,β) of an entire function of several complex vari- ables with respect to another entire function of several complex variables, where α,β are continuous non-negative functions defined on (-∞,+∞). Then we discuss some growth analysis of entire functions of several complex variables. Also we established some integral representations of the above growth indicators.


Keywords: Entire functions of several complex variables, increasing function, Gener- alized relative Gol`dberg order (α, β); generalized relative hyper Gol`dberg order (α, β), generalized relative logarithmic Gol`dberg order (α, β), generalized relative logarithmic Gol`dberg lower order (α, β).

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