AN INTEGRAL REPRESENTATION, SOME INEQUALITIES, AND COMPLETE MONOTONICITY OF THE BERNOULLI NUMBERS OF THE SECOND KIND
Copyright policy )AN INTEGRAL REPRESENTATION, SOME INEQUALITIES, AND COMPLETE MONOTONICITY OF THE BERNOULLI NUMBERS OF THE SECOND KIND
In the paper, the authors discover an integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind.
10 pages
inequality, Mathematics - Number Theory, Mathematics - Complex Variables, Cauchy integral formula, integral representation, completely monotonic sequence, Mathematics - Classical Analysis and ODEs, Bernoulli numbers of the second kind, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), Complex Variables (math.CV), Bernoulli and Euler numbers and polynomials, Primary 11B68, Secondary 11B83, 26A48, 30E20, 33B99
inequality, Mathematics - Number Theory, Mathematics - Complex Variables, Cauchy integral formula, integral representation, completely monotonic sequence, Mathematics - Classical Analysis and ODEs, Bernoulli numbers of the second kind, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), Complex Variables (math.CV), Bernoulli and Euler numbers and polynomials, Primary 11B68, Secondary 11B83, 26A48, 30E20, 33B99
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