The Lagrange interpolation formula and Stirling numbers
The Lagrange interpolation formula and Stirling numbers
and the formulas may be used to extend the definition of Si(n, k) and S2(n, k) for arbitrary real n. In a previous paper [2] the writer has proved several apparently new formulas relating the two kinds of Stirling numbers to each other. Carlitz [1 ] has generalized these results …