SEQUENTIAL PROPERTIES OF SUMS OVER STIRLING-PASCAL MATRIX

SEQUENTIAL PROPERTIES OF SUMS OVER STIRLING-PASCAL MATRIX

With the Stirling matrix S of the second kind and the Pascal matrix T, we study recurrence rules and sequences of certain sums over the matrix STk. We find a matrix E satisfying ST = ES and interrelations of S and the Stirling matrix of the first kind.

1. Introduction

2. ST{k} = S{⟨k⟩}

3. {i}ᵗʰrow sum of ST{k}

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