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Volumn 137, Issue 1, 2005, Pages 42-56

Harmonic number identities and Hermite-Padé approximations to the logarithm function

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EID: 33751010994     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2005.07.008     Document Type: Article
Times cited : (35)

References (15)
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    • 21344485564 scopus 로고    scopus 로고
    • W. Chu, Partial fractions and bilateral summations, J. Math. Phys. 35 (4) (1994) 2036-2042 MR 95f:33004.W. Chu, Partial fractions and bilateral summations, J. Math. Phys. 35 (4) (1994) 2036-2042
    • W. Chu, Partial fractions and bilateral summations, J. Math. Phys. 35 (4) (1994) 2036-2042 MR 95f:33004.W. Chu, Partial fractions and bilateral summations, J. Math. Phys. 35 (4) (1994) 2036-2042
  • 4
    • 0004258018 scopus 로고
    • Dordrecht-Holland, The Netherlands, Chapter III
    • L. Comtet, Advanced Combinatorics, Dordrecht-Holland, The Netherlands, 1974 (Chapter III).
    • (1974) Advanced Combinatorics
    • Comtet, L.1
  • 6
    • 15844380234 scopus 로고    scopus 로고
    • Padé approximations to the logarithm II: Identities, recurrences and symbolic computation
    • to appear
    • K. Driver, H. Prodinger, C. Schneider, J.A.C. Weideman, Padé approximations to the logarithm II: identities, recurrences and symbolic computation, Ramanujan J., 2003, to appear.
    • (2003) Ramanujan J
    • Driver, K.1    Prodinger, H.2    Schneider, C.3    Weideman, J.A.C.4
  • 7
    • 15844367291 scopus 로고    scopus 로고
    • Padé approximations to the logarithm III: Alternative methods and additional results
    • to appear
    • K. Driver, H. Prodinger, C. Schneider, J.A.C. Weideman, Padé approximations to the logarithm III: alternative methods and additional results, Ramanujan J., to appear.
    • Ramanujan J
    • Driver, K.1    Prodinger, H.2    Schneider, C.3    Weideman, J.A.C.4
  • 10
    • 85030522393 scopus 로고    scopus 로고
    • H. Jager, A multidimensional generalization of the Padé table IV, V, VI, Nedrerl. Akad. Wetensch. Proc. Series A 67 = Indag. Math. 26 (1964), 227-239, 240-244 and 245-249.
    • H. Jager, A multidimensional generalization of the Padé table IV, V, VI, Nedrerl. Akad. Wetensch. Proc. Series A 67 = Indag. Math. 26 (1964), 227-239, 240-244 and 245-249.
  • 12
    • 0001403937 scopus 로고
    • On the approximation of logarithms of algebraic numbers
    • K. Mahler, On the approximation of logarithms of algebraic numbers, Philos. Trans. Roy. Soc. London Ser. A 245 (1953) 371-398.
    • (1953) Philos. Trans. Roy. Soc. London Ser. A , vol.245 , pp. 371-398
    • Mahler, K.1
  • 14
    • 85030518360 scopus 로고    scopus 로고
    • Padé approximations to the logarithm I: Derivation via differential equations
    • preprint
    • J.A.C. Weideman, Padé approximations to the logarithm I: Derivation via differential equations, preprint, 2003.
    • (2003)
    • Weideman, J.A.C.1
  • 15


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.