A Recurrence Relation for Bernoulli Numbers

Volume: 42 Number: 4 April 1, 2013
  • Ömer Küçüksakallı
EN TR

A Recurrence Relation for Bernoulli Numbers

Abstract

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Keywords

References

  1. Agoh, T. and Dilcher, K. Shortened recurrence relations for Bernoulli numbers, Discrete Math. 309(4), 887–898, 2009.
  2. Apostol, T. M. An elementary view of Euler’s summation formula, Amer. Math. Monthly 106 (5), 409–418, 1999.
  3. Bromwich, T. J. I’A. An Introduction to the Theory of Infinite Series. Second edition. London, Macmillan; New York, St. Martin’s Press, 1965.
  4. Cox, D., Little, J. and O’Shea, D. Ideals, varieties, and algorithms. Second edition. Undergraduate Texts in Mathematics. Springer-Verlag, New York, 1997.
  5. Gould, H. W. Explicit formulas for Bernoulli numbers, Amer. Math. Monthly 79, 44–51, 197 Harvey, D. A multimodular algorithm for computing Bernoulli numbers, Math. Comp. 79 (272), 2361–2370, 2010.
  6. Ireland, K. and Rosen, M. A Classical Introduction to Modern Number Theory. Second edition. Graduate Texts in Mathematics, 84. Springer-Verlag, New York, 1990.
  7. Kummer, E. E. Allgemeiner Beweis des Fermat’schen Satzes, dass die Gleichung x λ + y λ = z λ durch ganze Zahlenunl¨ osbar ist, f¨ ur alle diejenigen Potenz-Exponenten λ, welche ungerade Primzahlen sind und in den Z¨ ahlern der ersten (λ − 3)/2 Bernoulli’schen Zahlen als Factoren nicht vorkommen, J. Reine Angew. Math. 40, 131–138, 1850.
  8. Mills, S. The independent derivations by Leonhard Euler and Colin Maclaurin of the EulerMaclaurin summation formula, Arch. Hist. Exact Sci. 33 (1-3), 1–13, 1985.

Details

Primary Language

Turkish

Subjects

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Journal Section

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Authors

Ömer Küçüksakallı This is me

Publication Date

April 1, 2013

Submission Date

May 11, 2014

Acceptance Date

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Published in Issue

Year 2013 Volume: 42 Number: 4

APA
Küçüksakallı, Ö. (2013). A Recurrence Relation for Bernoulli Numbers. Hacettepe Journal of Mathematics and Statistics, 42(4), 319-329. https://izlik.org/JA79UH33XZ
AMA
1.Küçüksakallı Ö. A Recurrence Relation for Bernoulli Numbers. Hacettepe Journal of Mathematics and Statistics. 2013;42(4):319-329. https://izlik.org/JA79UH33XZ
Chicago
Küçüksakallı, Ömer. 2013. “A Recurrence Relation for Bernoulli Numbers”. Hacettepe Journal of Mathematics and Statistics 42 (4): 319-29. https://izlik.org/JA79UH33XZ.
EndNote
Küçüksakallı Ö (April 1, 2013) A Recurrence Relation for Bernoulli Numbers. Hacettepe Journal of Mathematics and Statistics 42 4 319–329.
IEEE
[1]Ö. Küçüksakallı, “A Recurrence Relation for Bernoulli Numbers”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 4, pp. 319–329, Apr. 2013, [Online]. Available: https://izlik.org/JA79UH33XZ
ISNAD
Küçüksakallı, Ömer. “A Recurrence Relation for Bernoulli Numbers”. Hacettepe Journal of Mathematics and Statistics 42/4 (April 1, 2013): 319-329. https://izlik.org/JA79UH33XZ.
JAMA
1.Küçüksakallı Ö. A Recurrence Relation for Bernoulli Numbers. Hacettepe Journal of Mathematics and Statistics. 2013;42:319–329.
MLA
Küçüksakallı, Ömer. “A Recurrence Relation for Bernoulli Numbers”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 4, Apr. 2013, pp. 319-2, https://izlik.org/JA79UH33XZ.
Vancouver
1.Ömer Küçüksakallı. A Recurrence Relation for Bernoulli Numbers. Hacettepe Journal of Mathematics and Statistics [Internet]. 2013 Apr. 1;42(4):319-2. Available from: https://izlik.org/JA79UH33XZ