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What are the orthogonal polynomials with respect to the weight $2\cosh(\beta x)e^{-x^2}$?

By ExtraProxies | Proxy Quality | Comments are Closed | 31 January, 2018 | 0

In the study of a statistical physics problem, I need to know the orthogonal polynomials with respect to the weight $ $ 2\cosh(\beta x)e^{-x^2},$ $ where $ \beta \in \mathbb{R}^+$ . Is this already known? There is also a related but probably harder problem: what are the the orthogonal polynomials with respect to the weightRead more

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