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$q$-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra

About this Title

G. Andrews, Pennsylvania State University, University Park, PA

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1986; Volume 66
ISBNs: 978-0-8218-0716-3 (print); 978-1-4704-2426-8 (online)
DOI: https://doi.org/10.1090/cbms/066
MathSciNet review: MR858826
MSC: Primary 11P57; Secondary 05A17, 05A30, 33A30, 68Q40, 82A67

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. Found Opportunities
• Chapter 2. Classical Special Functions and L. J. Rogers
• Chapter 3. W. N. Bailey’s Extension of Rogers’s Work
• Chapter 4. Constant Terms
• Chapter 5. Integrals
• Chapter 6. Partitions and $q$-Series
• Chapter 7. Partitions and Constant Terms
• Chapter 8. The Hard Hexagon Model
• Chapter 9. Ramanujan
• Chapter 10. Computer Algebra
• Appendix A. W. Gosper’s Proof that $\lim _{q \to 1^{-}}\Gamma _q(x) = \Gamma (x)$
• Appendix B. Rogers’s Symmetric Expansion of $\psi (\lambda , \mu , \nu , q, \theta )$
• Appendix C. Ismail’s Proof of the $_1\psi _1$-Summation and Jacobi’s Triple Product Identity