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

Author(s): Tanmay Biswas and Chinmay Biswas

DOI: 10.2174/9789814998031121010007

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

Pp: 49-70 (22)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

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 (-∞,+∞).

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