Abstract
The r-th Faber polynomial of the Laurent series f(t) = t + f 0 + f 1/t + f 2/t 2 + … is the unique polynomial F r (u) of degree r in u such that F r (f) = t r + negative powers of t. We apply Faber polynomials, which were originally used to study univalent functions, to lattice path enumeration.
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References
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© 1997 Birkhäuser Boston
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Gessel, I.M., Ree, S. (1997). Lattice Paths and Faber Polynomials. In: Balakrishnan, N. (eds) Advances in Combinatorial Methods and Applications to Probability and Statistics. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4140-9_1
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DOI: https://doi.org/10.1007/978-1-4612-4140-9_1
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8671-4
Online ISBN: 978-1-4612-4140-9
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