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Lattice path combinatorics for multiple product identities
Authors:Larry Ericksen
Institution: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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