Theoretical Mathematics & Applications

Combinatorial Interpretation of the Identity det ( h?(I)-I+j ) = det (e?(I)-I+j )

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  • Abstract

    In this note, we consider the n-tuples of lattice paths as the combinatorial objects for the right hand side of the identity det ( h?(I)-I+j ) = det (e?(I)-I+j ) but under some restrictions. The proof of the identity then follows by showing that the generating function for the set D-A is equal to zero.

    Mathematics Subject Classification: 05C30
    Keywords: plane partition; lattice paths