Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A RECURRENCE RELATION FOR BERNOULLI NUMBERS

  • CAN MUMUN (DEPARTMENT OF MATHMATHICS, 07058-ANTALA) ;
  • CENKCI MEHMET (DEPARTMENT OF MATHMATHICS, 07058-ANTALA) ;
  • KURT VELI (DEPARTMENT OF MATHMATHICS, 07058-ANTALA)
  • Published : 2005.08.01
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Abstract

In this paper, using Gauss multiplication formula, a recurrence relation for Bernoulli numbers, generalizing Namias' results, is given.

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References

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  3. E. Y. Deeba and D. M. Rodriguez, Stirling's Series and Bernoulli Numbers, Amer. Math. Monthly 98 (1991), 423-426 https://doi.org/10.2307/2323860
  4. F. T. Howard, Applications of a Recurrence for the Bernoulli Numbers, J. Number Theory 52 (1995), 157-172 https://doi.org/10.1006/jnth.1995.1062
  5. V. Namias, A Simple Derivation of Stirling's Asymptotic Series, Amer. Math. Monthly 93 (1986), 25-29 https://doi.org/10.2307/2322540