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An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind

Published 11 Feb 2014 in math.CA, math.CO, and math.NT | (1402.2358v2)

Abstract: In the paper, the author establishes an integral representation for Cauchy numbers of the second kind, finds the complete monotonicity, minimality, and logarithmic convexity of Cauchy numbers of the second kind, and presents some inequalities for determinants and products of Cauchy numbers of the second kind.

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