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

Published electronically:
March 24, 2009

MathSciNet review:
2515422

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Abstract | References | Similar Articles | Additional Information

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.