Mohammed Mesk, Mohammed Brahim Zahaf
Published 2016-05-17Version 1
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.
Characterization of the Generalized Chebyshev Polynomials of First Kind
A new characterization of Sobolev spaces on $\mathbb{R}^n$
Characterization of certain sequences of $q$-polynomials
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