Zeta and q-Zeta Functions and Associated Series and Integrals book cover

Zeta and q-Zeta Functions and Associated Series and Integrals

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.

Audience

Researchers, lecturers and postgraduate students in the fields of mathematical and applied sciences

Hardbound, 674 Pages

Published: October 2011

Imprint: Elsevier

ISBN: 978-0-12-385218-2

Reviews

  • "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 27, 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 2012-1239-33002


Contents

  • 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

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