Note: On a connection between the Pascal, Stirling and Vandermonde matrices

  • Authors:

  • Sheng-Liang Yang;Hong You

  • Affiliations:

  • Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2007

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Abstract

In this paper, we are going to study some additional relations between the Stirling matrix S"n and the Pascal matrix P"n. Also the representation for the matrix T"n and T"n^-^1 in terms of s"n and S"n will be considered. Consequently, this will give an answer to an open problem proposed by EI-Mikkawy [On a connection between the Pascal, Vandermonde and Stirling matrices-II, Appl. Math. Comput. 146 (2003) 759-769].