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About: Stieltjes–Wigert polynomials     Goto   Sponge   NotDistinct   Permalink

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Type: Thingyago:WikicatOrthogonalPolynomialsyago:WikicatSpecialHypergeometricFunctionsyago:Abstraction100002137yago:Function113783816yago:MathematicalRelation113783581yago:Polynomial105861855yago:Relation100031921 New Facet based on Instances of this Class

In mathematics, Stieltjes–Wigert polynomials (named after Thomas Jan Stieltjes and Carl Severin Wigert) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, for the weight function on the positive real line x > 0. The moment problem for the Stieltjes–Wigert polynomials is indeterminate; in other words, there are many other measures giving the same family of orthogonal polynomials (see Krein's condition). Koekoek et al. (2010) give in Section 14.27 a detailed list of the properties of these polynomials.