Mc Laughlin, James, 1956-
Topics and methods in Q-series [electronic resource] / James Mc Laughlin. - Singapore : World Scientific Publishing Co. Pte Ltd., ©2018. - 1 online resource (400 p.) : ill. - Monographs in number theory ; v. 8 .
Includes bibliographical references and index.
"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."--
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
9789813223370
q-series.
Hypergeometric series.
Electronic books.
QA295 / .M16 2018
515/.243
Topics and methods in Q-series [electronic resource] / James Mc Laughlin. - Singapore : World Scientific Publishing Co. Pte Ltd., ©2018. - 1 online resource (400 p.) : ill. - Monographs in number theory ; v. 8 .
Includes bibliographical references and index.
"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."--
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
9789813223370
q-series.
Hypergeometric series.
Electronic books.
QA295 / .M16 2018
515/.243