A new characterization of ultraspherical, Hermite, and Chebyshev   polynomials of the first kind
  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. 
Mohammed Mesk (LANLMA), Mohammed Brahim Zahaf (LPQ3M)
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