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Lattice path combinatorics for multiple product identities |
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| Authors: | Larry Ericksen |
| Affiliation: | P.O. Box 172, Millville, NJ 08332, USA |
| Abstract: | Lattice paths are enumerated as walks on a lattice under the Delannoy criterion of vertical, horizontal and upward diagonal steps. Delannoy recursions are generalized for arbitrary weights in each of these directions, where the row elements of the Delannoy triangles correspond to lattice paths for all walks at a given length. |
| Keywords: | Chebyshev polynomial Delannoy number Fibonacci number Generating function Jacobi polynomial Jacobi triple product Lattice path Legendre polynomial Lucas number Recursion Schrö der number Theta function Watson quintuple product Zernike polynomial |
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