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.