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Topics and Methods in Q-Series

Topics and Methods in Q-Series

Hardcover

Series: Monographs in Number Theory, Book 8

General Mathematics

ISBN10: 9813224177
ISBN13: 9789813224179
Publisher: World Scientific Publishing Company
Published: Oct 2 2017
Pages: 400
Weight: 1.55
Height: 0.88 Width: 6.00 Depth: 9.00
Language: English

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.

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General Mathematics