Macdonald polynomials and multivariable basic hypergeometric series

DOI10.3842/SIGMA.2007.056zbMath1202.33026arXivmath/0611639MaRDI QIDQ2473454

Michael J. Schlosser

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611639

zbMATH Keywords

Macdonald polynomialsmatrix inversionbasic hypergeometric seriesPieri formularecursion formulaJackson's \({}_6\phi_5\) summation\({}_6\phi_5\) summation\(A_{n-1}\) series

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Basic hypergeometric functions associated with root systems (33D67)

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