Authors: Tanmay Biswas, Chinmay Biswas

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

eBook: US $49 Special Offer (PDF + Printed Copy): US $88
Printed Copy: US $64
Library License: US $196
ISBN: 978-981-4998-04-8 (Print)
ISBN: 978-981-4998-03-1 (Online)
Year of Publication: 2021
DOI: 10.2174/97898149980311210101

Introduction

In The Generalized Relative Gol‘dberg Order and Type: Some Remarks on Functions of Complex Variables, the authors have discussed the generalized comparative growth analysis of entire functions of several complex variables at length. The discussion covers the important branch of complex analysis specially the theory of analytic functions of several variables. The book contains eight chapters. Chapter 1 presents introductory aspects of the topic and some preliminary definitions. 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.

Preface

The main object of this book is to discuss the generalized comparative growth analysis of entire functions of n-complex variables, which covers the important branch of complex analysis, especially the theory of analytic functions of several variables. Our book contains eight chapters.

Chapter 1 contains the introductory parts and some preliminary definitions. In chapter 2, we have developed some results related to generalized Gol’dberg order (α, β) and generalized Gol’dberg type (α, β) of entire functions of several complex variables. In chapter 3, we have proved some results about generalized relative Gol’dbergorder (α, β) of entire functions of several complex variables. In 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 are established. In chapter 5, we have improved some relation connecting to generalized relative Gol’dberg type (α, β) and generalized relative Gol’dberg weak type (α, β) of entire functions of several complex variables. In chapter 6, we have derived 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. In chapter 7, we have discussed 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. And finally, in chapter 8, we mainly focus on sum and product theorems depending on the generalized relative Gol’dberg order (α, β) and generalized relative Gol’dberg type (α, β).

To improve our results, we took help from many publications of different authors and we are thankful to them and cited their publications in the bibliography. We think this book will be very helpful for research scholars and students. We are also thankful to the Bentham Science publishers to give us the opportunity to publish this monograph.


CONSENT FOR PUBLICATION

Not applicable.

CONFLICT OF INTEREST

The author declares no conflict of interest, financial or otherwise.

Tanmay Biswas
Rajbari, Rabindrapally, R. N. Tagore Road
P.O.-Krishnagar, Dist.-Nadia, West Bengal
India

&

Chinmay Biswas
Department of Mathematics
Nabadwip Vidyasagar College
Nabadwip, West Bengal 741302
India

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