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Discriminants of Chebyshev-like polynomials and their generating functions


Author: Khang Tran
Journal: Proc. Amer. Math. Soc. 137 (2009), 3259-3269
MSC (2000): Primary 11C08
DOI: https://doi.org/10.1090/S0002-9939-09-09899-2
Published electronically: March 24, 2009
MathSciNet review: 2515422
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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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Additional Information

Khang Tran
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, Illinois 61801

DOI: https://doi.org/10.1090/S0002-9939-09-09899-2
Received by editor(s): November 13, 2008
Received by editor(s) in revised form: January 27, 2009
Published electronically: March 24, 2009
Communicated by: Ken Ono
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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