A matrix inverse
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- by D. M. Bressoud PDF
- Proc. Amer. Math. Soc. 88 (1983), 446-448 Request permission
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 $q$. We generalize this inversion by introducing an extra parameter which brings much greater symmetry.References
- George E. Andrews, Connection coefficient problems and partitions, Relations between combinatorics and other parts of mathematics (Proc. Sympos. Pure Math., Ohio State Univ., Columbus, Ohio, 1978) Proc. Sympos. Pure Math., XXXIV, Amer. Math. Soc., Providence, R.I., 1979, pp. 1–24. MR 525316
- W. N. Bailey, Some identities in combinatory analysis, Proc. London Math. Soc. (2) 49 (1947), 421–425. MR 22816, DOI 10.1112/plms/s2-49.6.421
- W. N. Bailey, Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 50 (1948), 1–10. MR 25025, DOI 10.1112/plms/s2-50.1.1
- D. M. Bressoud, Some identities for terminating $q$-series, Math. Proc. Cambridge Philos. Soc. 89 (1981), no. 2, 211–223. MR 600238, DOI 10.1017/S0305004100058114
- Ira Gessel and Dennis Stanton, Applications of $q$-Lagrange inversion to basic hypergeometric series, Trans. Amer. Math. Soc. 277 (1983), no. 1, 173–201. MR 690047, DOI 10.1090/S0002-9947-1983-0690047-7
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 446-448
- MSC: Primary 33A30; Secondary 05A17
- DOI: https://doi.org/10.1090/S0002-9939-1983-0699411-9
- MathSciNet review: 699411