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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

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Special values of continuous q - Hermite polynomials

From Koekoek and Swarttouw take the Askey-Wilson polynomials $$ p_n(x;a,b,c,d|q) = \frac{(ab, ac, ad | q)_n}{a^n} {}_4 \phi_{3} (q^{-n}, abcdq^{n-1}, ae^{i\theta}, ae^{-i\theta}; ab, ac, ad; q, q). $$ … Now let's rewrite $H_n(x|q^2)$ in Askey-Wilson polynomials. …
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