Observations on Some Special Matrices and Polynomials

Authors

  • Moawwad E A El-Mikkawy Prof. Dr , Mansoura University, Faculty of Science, Mathematics Department, Mansoura,35516, EGYPT
  • Faiz Atlan

Keywords:

Pascal matrix, Vandermonde matrix, Stirling matrix, Permutation matrix, Divided di

Abstract

The current paper focus on the study of three special matrices and two symmetric polynomials. As a consequence, a recurrence relation satised by the entries of the nn inverse matrix, Qn of the nn symmetric Pascal matrix, Pn is obtained. Moreover, a new proof for El-Mikkawy conjecture [15] is investigated. Finally, some identities are discovered.

Author Biography

  • Moawwad E A El-Mikkawy, Prof. Dr , Mansoura University, Faculty of Science, Mathematics Department, Mansoura,35516, EGYPT
    Mathematics, Professor

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Published

2015-01-29

Issue

Vol. 8 No. 1: (January 2015)

Section

Discrete Mathematics

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How to Cite

Observations on Some Special Matrices and Polynomials. (2015). European Journal of Pure and Applied Mathematics, 8(1), 135-151. https://www.ejpam.com/index.php/ejpam/article/view/2159