Integral representations and properties of Stirling numbers of the first kind
Copyright policy )Integral representations and properties of Stirling numbers of the first kind
The paper gives 3 integral representations for the Stirling numbers of the first kind. One of the consequences is the non-negativity of an \(m\times m\) determinant that involves Stirling numbers of the first kind. It is also shown that for every fixed \(k\), the sequence \(s(n+k,k){\binom{n+k}{k}}^{-1}\) is logconvex.
- Inner Mongolia University for Nationalities China (People's Republic of)
Stirling numbers of the first kind, completely monotonic function, Special sequences and polynomials, majorization, Bell and Stirling numbers, logconvex sequences, integral representation, Factorials, binomial coefficients, combinatorial functions
Stirling numbers of the first kind, completely monotonic function, Special sequences and polynomials, majorization, Bell and Stirling numbers, logconvex sequences, integral representation, Factorials, binomial coefficients, combinatorial functions
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