메뉴 건너뛰기




Volumn 9, Issue 2, 1983, Pages 105-123

Two-point Padé expansions for a family of analytic functions

Author keywords

continued fraction; L Gaussian quadrature; orthogonal L polynomials; Pad approximant

Indexed keywords


EID: 0001109146     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(83)90034-1     Document Type: Article
Times cited : (76)

References (31)
  • 1
    • 36149005949 scopus 로고
    • High-temperature series expansions for the spin −1/2 Heisenberg model by the method of irreducible representations of the symmetry group
    • (1964) Phys. Rev. , vol.135 , Issue.5 A , pp. A1272-A1277
    • Baker1    Rushbrooke2    Gilbert3
  • 3
    • 77958399837 scopus 로고
    • Branch points, M-fractions and rational approximants generated by linear equations
    • (1977) J. Inst. Math. Appl. , vol.19 , pp. 169-185
    • Drew1    Murphy2
  • 4
    • 0002334558 scopus 로고
    • Computational Aspects of Three-Term Recurrence Relations
    • (1967) SIAM Review , vol.9 , Issue.1 , pp. 24-82
    • Gautschi1
  • 8
    • 0000336815 scopus 로고
    • Matrix interpretations and applications of the continued fraction algorithm
    • (1974) Rocky Mountain J. Math. , vol.4 , Issue.2 , pp. 213-225
    • Gragg1
  • 9
    • 0003759346 scopus 로고
    • Truncation error bounds for T-fractions
    • 2nd ed., Academic Press, New York
    • (1980) Approximation Theory , vol.3 , pp. 455-460
    • Gragg1
  • 10
  • 11
    • 13344279582 scopus 로고
    • The solution of Volterra integral equations of the convolution type using two-point rational approximants
    • (1978) J. Inst. Math. Appl. , vol.22 , pp. 147-158
    • Grundy1
  • 12
    • 13344278164 scopus 로고
    • On the solution of non-linear Volterra integral equations using two-point Padé rational approximants
    • (1978) J. Inst. Math. Appl. , vol.22 , pp. 317-320
    • Grundy1
  • 20
    • 0011554350 scopus 로고
    • Survey of continued fraction methods of solving moment problems and related topics
    • W.B. Jones, W.J. Thron, H. Waadeland, 2nd ed., Lecture Notes in Mathematics #932, Springer, New York
    • (1982) Analytic Theory of Continued Fractions , pp. 4-37
    • Jones1    Thron2
  • 22
    • 84966257322 scopus 로고
    • A continued fraction expansion with a truncation error estimate for Dawson's integral
    • (1974) Math. Comp. , vol.28 , Issue.127 , pp. 811-816
    • McCabe1
  • 23
    • 0040948124 scopus 로고
    • A formal extension of the Padé table to include two point Padé quotients
    • (1975) J. Inst. Math. Appl. , vol.15 , pp. 363-372
    • McCabe1
  • 26
    • 84879806872 scopus 로고
    • Application of two-point Padé approximants to some solid state problems
    • (1974) Rocky Mountain J. Math. , vol.4 , Issue.2 , pp. 385-386
    • Sheng1
  • 27
    • 0345967492 scopus 로고
    • Intermediate coupling theory: Padé approximants for Polarons
    • (1971) Phys. Rev. , vol.4 B , pp. 1343-1359
    • Sheng1    Dow2
  • 31
    • 0347191187 scopus 로고
    • Converging factors for continued fractions
    • (1959) Numer. Math. , vol.1 , pp. 272-320
    • Wynn1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.