A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind
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© 2015 Taylor & Francis. We show that the only orthogonal polynomials with a generating function of the form (Formula presented.) are the ultraspherical, Hermite, and Chebyshev polynomials of the first kind. For special F for which this is the case, we then finish the classification of orthogonal polynomials with more general generating functions (Formula presented.).
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