TOPICS AND METHODS IN Q-SERIES (eBook)

James Mc Laughlin (Autor)

eBook Download: EPUB

2017
400 Seiten
World Scientific Publishing Company (Verlag)
978-981-322-338-7 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 22.9.2017
• Reihe/Serie: Monographs in Number Theory
• Reihe/Serie: Monographs In Number Theory
• Reihe/Serie: MONOGRAPHS IN NUMBER THEORY
• Reihe/Serie: MONOGRAPHS IN NUMBER THEORY
• Verlagsort: SG
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 981-322-338-3 / 9813223383
• ISBN-13: 978-981-322-338-7 / 9789813223387