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Concavity properties for certain linear combinations of Stirling numbers

Concavity properties for certain linear combinations of Stirling numbers

In the notation of Riordan ([5], p. 33), the Stirling numbers, s(n, k) and S(n, k) , of the first and second kind respectively are defined by the relation where (x) n = x(x − 1) … (x − n + 1) is the factorial power function. They have been …