논문KCI 등재
Identities Involving Generalized Harmonic Numbers
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In this paper, from the transfer formula in umbral calculus we derive some new and interesting identities involving binomial coefficients, Bernoulli numbers of higher order, Bell polynomials and generalized harmonic numbers of the first and second kind.
Abstract
In this paper, from the transfer formula in umbral calculus we derive some new and interesting identities involving binomial coefficients, Bernoulli numbers of higher order, Bell polynomials and generalized harmonic numbers of the first and second kind.
참고문헌 (7)
- A.Gertsch, "Nombres harmoniques generalises", C.R.Acad. Sci. Paris, 324, pp.7~10 (1997)
- "Table for combinational numbers and associated identities"[URL]
- D.S.Kim, "Identities involving harmonic and hyperharmonic num-bers", Adv. Di erence Equ, ~
- S. Roman, "The Umbral Calculus" (1984), Academic Press, Inc
- J.M.Santmyer, "A Stirling like sequences of rational numbers", Discrete Math., 171, pp.229~235 (1997)
- J.Spieβ, "Some identities involving harmonic numbers", Math. Comp., 192, pp.839~863 (1990)
- D.A.Zave, "A series expansion involving the harmonic numbers", Inform. Process. Lett., 5, pp.75~77 (1976)
관련 논문AI추천
Combinatorial identities involving harmonic and hyperharmonic numbers김대산, 김태균, 이상훈장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호IDENTITIES INVOLVING TOUCHARD POLYNOMIALS DERIVED FROM UMBRAL CALCULUSO. Herscovici, T. Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호A note on ordered Bell numbers and polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호Some identities of Bernoulli and Euler polynomials arising form umbral calculus김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호Barnes-type degenerate Bernoulli polynomials김대산, D. V. Dolgy, T. Kim, T KOMATSU장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS김태균, Bayad장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제2호
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