On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions

Authors: Tanmay Biswas, Chinmay Biswas

On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions

ISBN: 978-981-5123-62-3
eISBN: 978-981-5123-61-6 (Online)

Introduction

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.

Audience

postgraduates, researchers, and faculty members interested in value distribution theorems in complex mathematical analysis.

Preface

The aim of this monograph is to discuss in detail about the growth properties of integer translated entire and meromorphic functions on the basis of their (p; q; t) Lorder and (p; q; t) L-type. This book contains chapters where we step by step elaborate the topic.

Chapter 1 contains the preliminary definitions and notations. In Chapter 2 and Chapter 3, we have derived 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. In Chapter 4 we have established some relations of integer translated composite entire and meromorphic functions on the basis of 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 is focused 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.

We are thankful to the authors whose publications help us to develop the results of this monograph. We think this monograph will be very helpful for future researchers and students. We are also grateful to Bentham Science Publishers for giving us the opportunity to publish this monograph.

CONSENT FOR PUBLICATION

Not applicable.

CONFLICT OF INTEREST

The authors declare no conflict of interest, financial or otherwise.

Tanmay Biswas
Research Scientist, Rajbari, Rabindrapally, R. N. Tagore Road
P.O. Krishnagar, P.S. Kotwali, Dist.-Nadia
PIN- 741101, West Bengal, India

&

Chinmay Biswas
Department of Mathematics
Nabadwip Vidyasagar College Nabadwip
Dist.- Nadia, PIN-741302
West Bengal, India