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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)
- S. Araci, "Extended p-adic q-invariant integrals on Zp Associated with Applications of Umbral Calculus", Adv. Difference Equ., 2013, pp.96~ (2013)
- A. Dil, "Polynomials related to harmonic numbers and evaluation of harmonic number sereis", Integers, 12(A38), pp.1~18 (2012)
- A. Dil, "Polynomials related to harmonic numbers and evaluation of harmonic number series II", Appl. Anal. Discrete Math, 5, pp.212~229 (2011)
- Y. He, "Some sum relations involving Bernoulli and Euler polynomials", Integral Transforms Spec. Funct, 22(3), pp.207~215 (2011)
- D. S. Kim, "Identities involving harmonic and hyperharmonic numbers"
- D. S. Kim, "Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus", Adv. Difference Equ., 2013, pp.15~ (2013)
- S. Roman, "More on the umbral calculus, with emphasis on the q–umbral calculus", J. Math. Anal. Appl., 107, pp.222~254 (1985)
- S. Roman, "The umbral calculus" (2005), Dover Publ. Inc.
관련 논문AI추천
Identities Involving Generalized Harmonic NumbersD. S. Kim, Y. Jeong장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제2호A note on r-Whitney type central factorial numbers of the second kind김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제1호Euler sums of generalized hyperharmonic numbersCe Xu대한수학회 · 대한수학회지2018 · 제55권 제5호Shifted harmonic sums of order twoAnthony Sofo대한수학회 · 대한수학회논문집2014 · 제29권 제2호λ-analogue of stirling numbers of the first kind김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호A note on degenerate Eulerian numbers and polynomials김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호
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