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Discriminants of Chebyshev-like polynomials and their generating functions

Author(s): Khang Tran
Journal: Proc. Amer. Math. Soc. 137 (2009), 3259-3269.
MSC (2000): Primary 11C08
Posted: March 24, 2009
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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: 10.1090/S0002-9939-09-09899-2
PII: S 0002-9939(09)09899-2
Received by editor(s): November 13, 2008,
Received by editor(s) in revised form: January 27, 2009
Posted: March 24, 2009
Communicated by: Ken Ono
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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