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Volumn 44, Issue 2, 2007, Pages 487-498

Generalized harmonic number identities and a related matrix representation

Author keywords

Bernoulli numbers; Harmonic numbers; Riemann zeta function; Stirling numbers; Symmetric polynomials

Indexed keywords


EID: 33947101992     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/JKMS.2007.44.2.487     Document Type: Article
Times cited : (17)

References (13)
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  • 2
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    • A. T. Benjamin, D. Gaebler, and R. Gaebler, A combinatorial approach to hyperharmonic numbers, Integers (Elec. J. Combi. Number Theory) 3 (2003), A15, 1-9.
  • 3
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    • Identities involving elementary symmetric functions
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    • Chaturvedi, S.1    Gupta, V.2
  • 4
    • 33751010994 scopus 로고    scopus 로고
    • Harmonic number identities and Hermite-Padé approximations to the logarithm function
    • W. Chu, Harmonic number identities and Hermite-Padé approximations to the logarithm function, J. Approx. Theory 137 (2005), no. 1, 42-56.
    • (2005) J. Approx. Theory , vol.137 , Issue.1 , pp. 42-56
    • Chu, W.1
  • 5
    • 10244261591 scopus 로고    scopus 로고
    • Hypergeometric series and harmonic number identities
    • W. Chu and L. De Donno, Hypergeometric series and harmonic number identities, Adv. in Appl. Math. 34 (2005), no. 1, 123-137.
    • (2005) Adv. in Appl. Math , vol.34 , Issue.1 , pp. 123-137
    • Chu, W.1    De Donno, L.2
  • 8
    • 12344327667 scopus 로고    scopus 로고
    • On Miki's identity for Bernoulli numbers
    • I. M. Gessel, On Miki's identity for Bernoulli numbers, J. Number Theory 110 (2005), no. 1, 75-82.
    • (2005) J. Number Theory , vol.110 , Issue.1 , pp. 75-82
    • Gessel, I.M.1
  • 9
    • 0037174278 scopus 로고    scopus 로고
    • Some classes of infinite series associated with the Riemann Zeta and Polygamma functions and generalized harmonic numbers
    • T. M. Rassias and H. M. Srivastava, Some classes of infinite series associated with the Riemann Zeta and Polygamma functions and generalized harmonic numbers, Appl. Math. Comput. 131 (2002), no. 2-3, 593-605.
    • (2002) Appl. Math. Comput , vol.131 , Issue.2-3 , pp. 593-605
    • Rassias, T.M.1    Srivastava, H.M.2
  • 10
    • 0040560513 scopus 로고    scopus 로고
    • A Stirling like sequence of rational numbers
    • J. M. Santmyer, A Stirling like sequence of rational numbers, Discrete Math. 171 (1997), no. 1-3, 229-235.
    • (1997) Discrete Math , vol.171 , Issue.1-3 , pp. 229-235
    • Santmyer, J.M.1
  • 12
    • 0042735311 scopus 로고    scopus 로고
    • Symmetric functions applied to decomposing solution sets of polynomial systems
    • A. J. Sommese, J. Verscheide, and C. W. Wampler, Symmetric functions applied to decomposing solution sets of polynomial systems, SIAM J. Numerical Analysis 40 (2002), no. 6, 2026-2046.
    • (2002) SIAM J. Numerical Analysis , vol.40 , Issue.6 , pp. 2026-2046
    • Sommese, A.J.1    Verscheide, J.2    Wampler, C.W.3
  • 13
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    • http://mathworld.wolfram.com/Newton-GirardFormulas.html.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.