On Total Positivity of the Matrices Concerned with the r-Lah Numbers
This work aims to do research on the combinatorial properties of r-Lah numbers.We explore the problem of positivity of the r-Lah triangle and the r-Lah square by employing the positivity of the Pascal triangle and the Pascal square and methods in matrix algebra.It is shown that the r-Lah triangles and the r-Lah squares are totally positive for r ≥ 0.These results enriched the combinatorial properties of r-Lah numbers.
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