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Little q-Jacobi polynomials


newton's method fractal of the Jacobi Theta function ϑ3(z,q), |q|=0.8 with didgeridoo

In mathematics, the little q-Jacobi polynomials pn(x;a,b;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Hahn (1949). Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.
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