Zeta and q-Zeta Functions and Associated Series and Integrals

ISBN-13: 9780323165266 / Angielski / Miękka / 2011 / 674 str.

Bri Victoria Hari Mohan Srivastava (University of Victoria; Republic of Kor Gyeongju Junesang Choi (Dongguk University

Opis

Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals.

Recenzje

"Overall this is a very valuable reference for those with an interest in the Riemann zeta function or who have occasion to evaluate series involving the zeta function." --BookInspections.com, May 2013

"Overall this is a very valuable reference for those with an interest in the Riemann zeta function or who have occasion to evaluate series involving the zeta function." --Zentralblatt MATH 2012

Spis treści

Chapter 1. Introduction and Preliminaries

Chapter 2. The Zeta and Related Functions

Chapter 3. Series Involving Zeta Functions

Chapter 4. Evaluations and Series Representations

Chapter 5. Determinants of the Laplacians

Chapter 6. q-Extensions of some special functions and polynomials

Chapter 7. Miscellaneous Results

Bibliography