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Topics and Methods in Q-Series
Contributor(s): James MC Laughlin (Author)
ISBN: 9813224177     ISBN-13: 9789813224179
Publisher: World Scientific Publishing Company
OUR PRICE:   $140.60  
Product Type: Hardcover - Other Formats
Published: October 2017
Qty:
Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Combinatorics
- Mathematics | Functional Analysis
Series: Monographs in Number Theory
Physical Information: 0.88" H x 6" W x 9" (1.55 lbs) 400 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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.