Observations on Some Special Matrices and Polynomials

Moawwad E A El-Mikkawy, Faiz Atlan

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.

Keywords

Pascal matrix; Vandermonde matrix; Stirling matrix; Permutation matrix; Divided di

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