Communicated by the Managing Editors

نویسنده

  • RICHARD P. STANLEY
چکیده

An investigation is made of the polynomials fk(n) = ,S(n + I?, n) and g&z) == (l)k s(n, n k), where s and s denote the Stirling numbers of the second and first kind, respectively. The main result gives a combinatorial interpretation of the coefficients of the polynomial (1 x)~~+* .Z"t&(n)xn analogous to the well-known combinatorial interpretation of the Eulerian numbers in terms of descents of permutations.

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تاریخ انتشار 2003