Continued Fractions for Rogers–Szegö Polynomials |
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| Authors: | Qing-Hu Hou Alain Lascoux Yan-Ping Mu |
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| Institution: | (1) Center for Combinatorics, LPMC, Nankai University, Tianjin, 300071, P. R. China;(2) CNRS, Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée Cedex, France |
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| Abstract: | We evaluate different Hankel determinants of Rogers–Szegö polynomials, and deduce from it continued fraction expansions for the generating function of RS polynomials. We also give an explicit expression of the orthogonal polynomials associated to moments equal to RS polynomials, and a decomposition of the Hankel form with RS polynomials as coefficients. |
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| Keywords: | q-binomial coefficients Rogers– Szegö polynomials continued fractions |
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