Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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OME PROPERTIES OF THE BERNOULLI NUMBERS OF THE SECOND KIND AND THEIR GENERATING FUNCTION

  • Qi, Feng (Institute of Mathematics Henan Polytechnic University) ;
  • Zhao, Jiao-Lian (Department of Mathematics and Informatics Weinan Normal University)
  • Received : 2018.01.10
  • Accepted : 2018.04.13
  • Published : 2018.11.30
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Abstract

In the paper, the authors find a common solution to three series of differential equations related to the generating function of the Bernoulli numbers of the second kind and present a recurrence relation, an explicit formula in terms of the Stirling numbers of the first kind, and a determinantal expression for the Bernoulli numbers of the second kind.

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References

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