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

- Pp. i-ii (2)
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Acknowledgement

- Pp. iii
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Introduction, definitions and notations

- Pp. 1-15 (15)
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Generalized Gol`dberg order (α,β) and generalized Gol`dberg type (α,β) of entire functions of several complex variables

- Pp. 16-29 (14)
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Generalized relative Gol`dberg order (α,β) of entire functions of several complex variables

- Pp. 30-42 (13)
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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

- Pp. 43-48 (6)
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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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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

- Pp. 71-97 (27)
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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

- Pp. 98-116 (19)
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Sum and product theorems depending on the generalized relative Gol`dberg order (α,β) and generalized relative Gol`dberg type (α,β)

- Pp. 117-146 (30)
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Conclusion

- Pp. 147
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Bibliography

- Pp. 148-149 (2)
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Subject Index

- Pp. 150-151 (2)
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