대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제42권3호
  • /
  • Pages.617-622
  • /
  • 2005
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 발행 : 2005.08.01
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초록

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

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참고문헌

  1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureu of Standarts, Appl. Math. Series 55 (1965)
  2. T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1985
  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