Browse > Article
http://dx.doi.org/10.4134/BKMS.2005.42.3.617

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 617-622 More about this Journal
Abstract
In this paper, using Gauss multiplication formula, a recurrence relation for Bernoulli numbers, generalizing Namias' results, is given.
Keywords
Bernoulli numbers; Stirling's series; Gauss multiplication formula;
Citations & Related Records
연도 인용수 순위
  • Reference
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   DOI   ScienceOn
4 F. T. Howard, Applications of a Recurrence for the Bernoulli Numbers, J. Number Theory 52 (1995), 157-172   DOI   ScienceOn
5 V. Namias, A Simple Derivation of Stirling's Asymptotic Series, Amer. Math. Monthly 93 (1986), 25-29   DOI   ScienceOn