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On the multiple Hurwitz-Euler eta functions and the sums of products of the Euler numbers

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대한수학회 (The Korean Mathematical Society)|2014.03|대한수학회보 (Bulletin of the KMS)|제51권 제2호|pp. 401-408

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참고문헌

키워드

Euler numbersHurwitz-Euler eta functionmultiple Hurwitz-Euler eta functionsums of products
주제분류수학

초록

We establish a new approach for the sums of products of the Euler numbers by using the relation of values at non-positive integers of the representation of the multiple Hurwitz-Euler eta function in terms of the Hurwitz-Euler eta function.

Abstract

We establish a new approach for the sums of products of the Euler numbers by using the relation of values at non-positive integers of the representation of the multiple Hurwitz-Euler eta function in terms of the Hurwitz-Euler eta function.

참고문헌 (9)

  1. J. Choi, "The multiple Hurwitz zeta function and the multiple Hurwitz-Euler eta function", Taiwanese J. Math, 15(2), pp.501~522 (2011)
  2. K. Dilcher, "Sums of products of Bernoulli numbers", J. Number Theory, 60(1), pp.23~41 (1996)
  3. M. Eie, "A note on Bernoulli numbers and Shintani generalized Bernoulli polynomials", Trans. Amer. Math. Soc, 348(3), pp.1117~1136 (1996)
  4. M. -S. Kim, "A note on sums of products of Bernoulli numbers", Appl. Math. Lett, 24(1), pp.55~61 (2011)
  5. M. -S. Kim, "Sums of products of Apostol-Bernoulli numbers", Ramanujan J, 28(1), pp.113~123 (2012)
  6. A. Petojevi´c, "New sums of products of Bernoulli numbers", Integral Transforms Spec. Funct, 19(1-2), pp.105~114 (2008)
  7. H. M. Srivastava, "Some formulas for the Bernoulli and Euler polynomials at rational arguments", Math. Proc. Cambridge Philos. Soc, 129(1), pp.77~84 (2000)
  8. H. M. Srivastava, "Series Associated with the Zeta and Related Functions" (2001), Kluwer Academic Publishers
  9. H. M. Srivastava, "Remarks on some relationships between the Bernoulli and Euler polynomials", Appl. Math. Lett, 17(4), pp.375~380 (2004)

관련 논문AI추천

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