In the proceeding chapters (2-8), the authors derive some results about the generalized Gol'dberg order (α, β) and generalized Gol'dberg type (α, β) of entire functions of several complex variables which progressively explores different variations of these variables, (upper and lower, functions, inequalities, growth measures). The book culminates in an explanation of the sum and product theorems depending on the generalized relative Gol'dberg order (α, β).
This monograph is intended for mathematical researchers and enthusiasts who wish to expand their understanding about complex variables of several functions and complex and related aspects of complex analysis.
Table of Contents
Chapter 1 Introduction, Definitions, and Notations
1.1. Introduction, Definitions, and Notations
- References
Chapter 2 Generalized Gol'Dberg Order (Α,Β) and Generalized Gol'Dberg Type (Α,Β) of Entire Functions of Several Complex Variables
2.1. Introduction
2.2. Preliminary Remarks and Definitions
2.3. Main Results
- Conclusion of the Chapter
- References
Chapter 3 Generalized Relative Gol'Dberg Order (Α,Β) of Entire Functions of Several Complex Variables
3.1. Introduction
3.2. Preliminary Remarks and Definitions
3.3. Lemma
3.4. Main Results
- Conclusion of the Chapter
- References
Chapter 4 Some Inequalities Using Generalized Relative Gol'Dberg Order (Α,Β) and Generalized Relative Gol'Dberg Lower Order (Α,Β) of Entire Functions of Several Complex Variables
4.1. Introduction
4.2. Main Results
- Conclusion of the Chapter
Chapter 5 Generalized Relative Gol'Dberg Type (Α,Β) and Generalized Relative Gol'Dberg Weak Type (Α,Β) of Entire Functions of SeveralComplex Variables
5.1. Introduction
5.2. Preliminary Remarks and Definitions
5.3. Lemma
5.4. Main Results
- Conclusion of the Chapter
- References
Chapter 6 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
6.1. Introduction
6.2. Lemmas
6.3. Main Results
- Conclusion of the Chapter
Chapter 7 Generalized Relative Gol'Dberg Order (Α,Β) and Generalized Relative Gol'Dberg Type (Α,Β) Based Growth Measure of Entire Functions of Several Complex Variables
7.1. Introduction
Chapter 8 Sum and Product Theorems Depending on the Generalized Relative Gol'Dberg Order (Α,Β) and Generalized Relative Gol'Dberg Type (Α,Β)
8.1. Introduction
8.2. Main Results
- Conclusion of the Chapter
- References
- Subject Index
Author
- Tanmay Biswas
- Chinmay Biswas
