ゼータ関数と関連した関数の級数 Series Associated with the Zeta and Related Functions

Srivastava, H. M./ Choi, Junesang/ Junesang, Choi

Kluwer Academic Pub（2001/07発売）

• 製本 Hardcover:ハードカバー版／ページ数 388 p.
• 言語 ENG
• 商品コード 9780792370543
• DDC分類 515.56

Full Description

Designed as a reference work and also as a graduate-level textbook, this volume presents an up-to-date and comprehensive account of the theories and applications of the various methods and techniques used in dealing with problems involving closed-form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) numerous families of series associated with the Riemann Zeta function, the Hurwitz Zeta function, and their extensions and generalizations such as Lerch's transcendent (or the Hurwitz-Lerch Zeta function). This book is intended for professional mathematicians and graduate students in mathematical sciences (both pure and applied).

Contents

Preface. Acknowledgements. 1. Introduction and Preliminaries. 2. The Zeta and Related Functions. 3. Series Involving Zeta Functions. 4. Evaluations and Series Representations. 5. Determinants of the Laplacians. 6. Miscellaneous Results. Bibliography. Author Index. Subject Index.