Generating functions of Chebyshev-like polynomials
Alin Bostan (INRIA Rocquencourt), Bruno Salvy (INRIA Rocquencourt),, Khang Tran
TL;DR
This paper provides simple proofs for various results and conjectures related to the generating functions of Chebyshev-like polynomials, clarifying their properties and relationships.
Contribution
It offers new, simplified proofs of existing conjectures and results on Chebyshev-like polynomial generating functions.
Findings
Validated several conjectures about Chebyshev-like polynomials
Simplified proofs of key properties of these polynomials
Enhanced understanding of their generating functions
Abstract
In this short note, we give simple proofs of several results and conjectures formulated by Stolarsky and Tran concerning generating functions of some families of Chebyshev-like polynomials.
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