On a connection between the Pascal, Vandermonde and Stirling matrices. II. (English) Zbl 1045.15014
The author continues his study started in the Part I [ibid. 145, No. 1, 23–32 (2003; Zbl 1045.15013)]. Some combinatorial identities as an application of these results are given.
Reviewer: Witold Więsław (Wrocław)
MSC:
| 15B36 | Matrices of integers |
| 15B51 | Stochastic matrices |
| 05A19 | Combinatorial identities, bijective combinatorics |
| 05E05 | Symmetric functions and generalizations |
Keywords:
algorithms; Pascal matrix; Vandermonde matrix; Stirling matrix; stochastic matrix; symmetric functions; MAPLE; combinatorial identitiesCitations:
Zbl 1045.15013Software:
MapleReferences:
| [1] | M.E.A. El-Mikkawy, On a connection between the Pascal, Vandermonde and Stirling matrices-I, Appl. Math. Comput., 2003, to appear; M.E.A. El-Mikkawy, On a connection between the Pascal, Vandermonde and Stirling matrices-I, Appl. Math. Comput., 2003, to appear · Zbl 1045.15013 |
| [2] | M.E.A. El-Mikkawy, Explicit inverse of a generalized Vandermonde matrix, Appl. Math. Comput., 2003, to appear; M.E.A. El-Mikkawy, Explicit inverse of a generalized Vandermonde matrix, Appl. Math. Comput., 2003, to appear · Zbl 1101.15002 |
| [3] | Maple V, Language Reference Manual, Springer-Verlag; Maple V, Language Reference Manual, Springer-Verlag |
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