ゼータ関数とＱゼータ関数 Zeta and q-Zeta Functions and Associated Series and Integrals

Srivastava, H. M./ Choi, Junesang

Elsevier Science Ltd（2011/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 657 p.
• 言語 ENG
• 商品コード 9780123852182
• DDC分類 515

基本説明

A thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions.

Full Description

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.

Contents

Chapter 1. Introduction and PreliminariesChapter 2. The Zeta and Related FunctionsChapter 3. Series Involving Zeta FunctionsChapter 4. Evaluations and Series RepresentationsChapter 5. Determinants of the LaplaciansChapter 6. q-Extensions of some special functions and polynomialsChapter 7. Miscellaneous ResultsBibliography