q-series and d partitions

Includes bibliographical references

1. On the Proofs of the Rogers-Ramanujan Identities
2. Bibasic Summation, Transformation and Expansion Formulas, q-Analogues of Clausen’s Formula, and Nonnegative Basic
3. Hypergeometric Series
4. Identities
5. In the Land of Oz
6. On the Gaussian Polynomials
7. A One-line High School Algebra Proof of the Unimodality of the Gaussian Polynomials [nk] for k < 20
8. An Elementary Proof of a q-Binomial Identity
9. Some Macdonald-Mehta Integrals by Brute Force
10. Macdonald Conjectures and the Selberg Integral
11. Analogs and Extensions of Selberg’s Integral
12. An Elementary Approach to the Macdonald Identities
13. Continuous q-Hermite Polynomials when q > 1
14. Generalized Rook Polynomials and Orthogonal Polynomials
15. Monotonicity of Zeros of Orthogonal Polynomials
16. Symmetry Techniques and Orthogonality for q-Series.

This IMA Volume in Mathematics and its Applications q-Series and Partitions is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year­ long program.