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Combinatorial identities involving harmonic and hyperharmonic numbers

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In this paper, by using transfer formula for the associated sequences, we establish some combinatorial identities involving harmonic and hyperharmonic numbers.

Abstract

In this paper, by using transfer formula for the associated sequences, we establish some combinatorial identities involving harmonic and hyperharmonic numbers.

참고문헌 (8)

  1. S. Araci, "Extended p-adic q-invariant integrals on Zp Associated with Applications of Umbral Calculus", Adv. Difference Equ., 2013, pp.96~ (2013)
  2. A. Dil, "Polynomials related to harmonic numbers and evaluation of harmonic number sereis", Integers, 12(A38), pp.1~18 (2012)
  3. A. Dil, "Polynomials related to harmonic numbers and evaluation of harmonic number series II", Appl. Anal. Discrete Math, 5, pp.212~229 (2011)
  4. Y. He, "Some sum relations involving Bernoulli and Euler polynomials", Integral Transforms Spec. Funct, 22(3), pp.207~215 (2011)
  5. D. S. Kim, "Identities involving harmonic and hyperharmonic numbers"
  6. D. S. Kim, "Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus", Adv. Difference Equ., 2013, pp.15~ (2013)
  7. S. Roman, "More on the umbral calculus, with emphasis on the q–umbral calculus", J. Math. Anal. Appl., 107, pp.222~254 (1985)
  8. S. Roman, "The umbral calculus" (2005), Dover Publ. Inc.

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