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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.
ID produktu: | 1176309276 |
Tytuł: | Topics and Methods in q-Series |
Autor: | LAUGHLIN JAMES MC |
Wydawca: | World Scientific Publishing Co Pte Ltd |
Język wydania: | english |
Ilość stron: | 402 |
Data premiery: | 2020-01-30 |
Rok wydania: | 2017 |
Forma: | książka |
Okładka: | miękka |
Wymiary [mm]: | 25 x 231 x 154 |
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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 ...