Lattice Paths and Faber Polynomials
暂无分享，去创建一个
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.
[1] S. G. Mohanty,et al. Lattice Path Counting and Applications. , 1980 .
[2] M. Schiffer. Faber polynomials in the theory of univalent functions , 1948 .
[3] Issai Schur. On Faber Polynomials , 1945 .
[4] Ira M. Gessel,et al. A Factorization for Formal Laurent Series and Lattice Path Enumeration , 1980, J. Comb. Theory A.
[5] Andrea Brini,et al. Higher Dimensional Recursive Matrices and Diagonal Delta Sets of Series , 1984, J. Comb. Theory, Ser. A.