Discriminants of Chebyshev-like polynomials and their generating functions
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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.References
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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
- 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
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3259-3269
- MSC (2000): Primary 11C08
- DOI: https://doi.org/10.1090/S0002-9939-09-09899-2
- MathSciNet review: 2515422