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Published in:
1997 | OriginalPaper | Chapter
Lattice Paths and Faber Polynomials
Authors : Ira M. Gessel, Sangwook Ree
Published in: Advances in Combinatorial Methods and Applications to Probability and Statistics
Publisher: Birkhäuser Boston
Included in: Professional Book Archive
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The r-th Faber polynomial of the Laurent series f(t) = t + f0 + f1/t + f2/t2 + … is the unique polynomial F r (u) of degree r in u such that F r (f) = tr + negative powers of t. We apply Faber polynomials, which were originally used to study univalent functions, to lattice path enumeration.