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On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions

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    Book

  • March 2023
  • Bentham Science Publishers Ltd
  • ID: 5775826
The theory of entire and meromorphic functions is a very important area of complex analysis. This monograph aims to expand the discussion about some growth properties of integer translated composite entire and meromorphic functions on the basis of their (p,q,t)L -order and (p,q,t)L -type.

This book presents six chapters. Chapter 1 introduces the reader to the preliminary definitions and notations. Chapter 2 and Chapter 3 discuss some results related to (p; q; t) L-th order and (p; q; t)L-th lower order of composite entire and meromorphic functions on the basis of their integer translation. Chapter 4 establishes some relations of integer translated composite entire and meromorphic functions based on their (p; q; t) L-th type and (p; q; t) L-th weak type. Chapter 5 deals with some results about (p; q; t) L-th order and (p; q; t) L-th type of composite entire and meromorphic functions on the basis of their integer translation. Chapter 6 focuses on some results about (p; q; t) L-th order and (p; q; t) L-th type of composite entire and meromorphic functions on the basis of their integer translation.

This monograph will be very helpful for postgraduates, researchers, and faculty members interested in value distribution theorems in complex mathematical analysis.

Table of Contents

1 Preliminary Definitions and Notations
1 1.1 Introduction
1 1.2 Preliminary Definitions and Notations
1 1.3 Concluding Remarks

2 Order Oriented Some Growth Analysis of Composite Entire and Meromorphic Functions on the Basis of Their Integer Translation 16
2.1 Introduction
2.2 Lemmas
2.3 Main Result
2.4 Concluding Remarks

3 Order Based Some Further Results of Integer Translated Composite Entire and Meromorphic Functions
3.1 Introduction
3.2 Main Result
3.3 Concluding Remarks

4 Weak Type Based Some Growth Properties of Composite Entire and Meromorphic Functions on the Basis of Their Integer Translation
4.1 Introduction
4.2 Lemmas
4.3 Main Result
4.4 Concluding Remarks

5 Type Based Some Growth Rates of Integer Translated Composite Entire and Meromorphic Functions
5.1 Introduction
5.2 Lemm
5.3 Main Result
5.4 Concluding Remarks
Preface

6 Some Growth Properties of Integer Translated Composite Entire and Meromorphic Functions on the Basis of Order and Type
6.1 Introduction
6.2 Lemma
6.3 Main Result
6.4 Concluding Remarks
Subject Index

Author

  • Tanmay Biswas
    -Chinmay Biswas