A matrix inverse

Author:

Bressoud D. M.

Abstract

George Andrews has demonstrated that the Bailey transform is equivalent to the inversion of an infinite-dimensional matrix whose entires are rational functions in q q . We generalize this inversion by introducing an extra parameter which brings much greater symmetry.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Connection coefficient problems and partitions;Andrews, George E.,1979

2. Some identities in combinatory analysis;Bailey, W. N.;Proc. London Math. Soc. (2),1947

3. Identities of the Rogers-Ramanujan type;Bailey, W. N.;Proc. London Math. Soc. (2),1948

4. Some identities for terminating 𝑞-series;Bressoud, D. M.;Math. Proc. Cambridge Philos. Soc.,1981

5. Applications of 𝑞-Lagrange inversion to basic hypergeometric series;Gessel, Ira;Trans. Amer. Math. Soc.,1983

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