CBMS Regional Conference Series in Mathematics 1986; 130 pp; softcover Number: 66 Reprint/Revision History: fourth printing 2000 ISBN10: 0821807161 ISBN13: 9780821807163 List Price: US$24 Member Price: US$19.20 All Individuals: US$19.20 Order Code: CBMS/66
 This book integrates recent developments and related applications in \(q\)series with a historical development of the field, focusing on major breakthroughs and the author's own research interests. The author develops both the important analytic topics (Bailey chains, integrals, and constant terms) and applications to additive number theory. He concludes with applications to physics and computer algebra and a section on results closely related to Ramanujan's "Lost Notebook." With its wide range of applications, the book will interest researchers and students in combinatorics, additive number theory, special functions, statistical mechanics, and computer algebra. It is understandable to even a beginning graduate student in mathematics who has a background in advanced calculus and some mathematical maturity. Readership Researchers and students in combinatorics, additive number theory, special functions, statistical mechanics, and computer algebra. Table of Contents  Found opportunities
 Classical special functions and L. J. Rogers
 W. N. Bailey's extension of Roger's work
 Constant terms
 Integrals
 Partitions and \(q\)series
 Partitions and constant terms
 The hard hexagon model
 Ramanujan
 Computer algebra
 Appendix A. W. Gosper's Proof that \(\lim _{q\rightarrow 1^}\Gamma _q(x)=\Gamma (x)\)
 Appendix B. Roger's symmetric expansion of \(\psi (\lambda , \mu ,\nu , q, \theta )\)
 Appendix C. Ismail's proof of the \(_1\psi _1\)summation and Jocobi's triple product identity
 References
