A new characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind

Published 17 May 2016 in math.CA and math.CO | (1605.05181v1)

Abstract: We show that the only polynomial sets with a generating function of the form F (xt -- R(t)) and satisfying a three-term recursion relation are the monomial set and the rescaled ultraspherical, Hermite, and Chebyshev polynomials of the first kind.

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