Discriminants of Chebyshev-like polynomials and their generating functions

Tran, Khang

doi:10.1090/S0002-9939-09-09899-2

Discriminants of Chebyshev-like polynomials and their generating functions
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Proc. Amer. Math. Soc. 137 (2009), 3259-3269 Request permission

Abstract:

In his paper of 2000, Kenneth B. Stolarsky made various observations and conjectures about discriminants and generating functions of certain types of Chebyshev-like polynomials. We prove several of these conjectures. One of our proofs involves Wilf-Zeilberger pairs and a contiguous relation for hypergeometric series.

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