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.
The book comprises of 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).
About the Authors:
Dr. Tanmay Biswas, an independent Research Scientist, took his Bachelor degree in Pure Mathematics from the University of Calcutta in 2002, Masters degree in Pure Mathematics from University of North Bengal in 2005, and he obtained Doctoral degree from University of North Bengal in 2010. He has proved his potentiality in research career, which is more than 10 years and his main focused area is field of complex analysis. He has published more than 238 research papers including 52 research papers with single authorship.
Dr. Chinmay Biswas is an Assistant Professor, Department of Mathematics, Nabadwip Vidyasagar College, West Bengal, India. He took his Bachelor degree, Masters degree and Doctoral degree from the University of Kalyani. In 2007, he joined as an Assistant Teacher in Taraknagar Jamuna Sundari High School and from 2015, he serve as an Assistant Professor of Nabadwip Vidyasagar College. During his teaching and research career more than 13 years, he has published several papers in some reputed international journals.
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Keywords:
Goldberg result, Addition of complex variables,Theory of complex numbers and variables, Complex Analysis, Representation of complex numbers and variables, Functions of complex variables, Goldberg’s Algorithm, Complex analysis and application
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