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arXiv · 1605.05181

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

Mohammed Mesk·Mohammed Brahim Zahaf
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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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Mohammed Mesk, Mohammed Brahim Zahaf. 2016-05-17. A new characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind. https://arxiv.org/abs/1605.05181

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