Abstract
Faber polynomials corresponding to rational exterior mapping functions of degree (m, m − 1) are studied. It is shown that these polynomials always satisfy an (m + 1)-term recurrence. For the special case m = 2, it is shown that the Faber polynomials can be expressed in terms of the classical Chebyshev polynomials of the first kind. In this case, explicit formulas for the Faber polynomials are derived.
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Communicated by Dieter Gaier.
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Liesen, J. Faber polynomials corresponding to rational exterior mapping functions. Constr. Approx 17, 267–274 (2001). https://doi.org/10.1007/s003650010021
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DOI: https://doi.org/10.1007/s003650010021