Abstract
Consider the hit polynomial of the path P_{2n} embedded in the complete graph K_{2n}. We give a combinatorial interpretation of the n-th Bessel polynomial in terms of a modification of this hit polynomial, called the ordered hit polynomial. Also, the first derivative of the n-th Bessel polynomial is shown to be the ordered hit polynomial of P_{2n-1} embedded in K_{2n}.
Recommended Citation
McSorley, John P. and Feinsilver, Philip. "A Combinatorial Interpretation of Bessel Polynomials and their First Derivatives as Ordered Hit Polynomials." Journal of Combinatorial Mathematics and Combinatorial Computing 39 (Jan 2001): 33-48.
COinS