On a connection between the Pascal, Stirling and Vandermonde matrices |
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| Authors: | Sheng-Liang Yang |
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| Affiliation: | a Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China
b Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | In this paper, we are going to study some additional relations between the Stirling matrix Sn and the Pascal matrix Pn. Also the representation for the matrix Tn and  in terms of sn and Sn 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]. |
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| Keywords: | Stirling number Stirling matrix Vandermonde matrix Pascal matrix |
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