TOPICS AND METHODS IN Q-SERIES (Monographs in Number Theory) - Hardcover

James Mc Laughlin

Hardcover

ISBN 10: 9813224177 ISBN 13: 9789813224179

Publisher: World Scientific Publishing Company, 2017

Synopsis

The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heine's transformation, the Jacobi triple product identity, Ramanujan's 1-psi-1 summation formula, Bailey's 6-psi-6 summation formula and the Rogers-Fine identity, the book goes on to delve more deeply into important topics such as Bailey- and WP-Bailey pairs and chains, q-continued fractions, and mock theta functions. There are also chapters on other topics such as Lambert series and combinatorial proofs of basic hypergeometric identities.

The book could serve as a textbook for the subject at the graduate level and as a textbook for a topic course at the undergraduate level (earlier chapters). It could also serve as a reference work for researchers in the area.

Readership: Undergraduate and graduate students.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2017
• Language: English
• ISBN 10: 9813224177
• ISBN 13: 9789813224179
• Binding: Hardcover
• Number of pages: 400