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On M-tables associated with strong moment problems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1199)

Keywords

  • Block Structure
  • Continue Fraction
  • Moment Problem
  • Left Edge
  • Formal Laurent Series

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References

  1. Baker, Jr., George A. and Peter Graves-Morris, Padé Approximants, Part I, Encyclopedia of Mathematics and Its Applications, No. 13, Addison-Wesley Publ. Co., Reading, MA (1981).

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  2. Cooper, S. Clement, Arne Magnus and J. H. McCabe, "On the non-normal two-point Padé table", submitted.

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  3. Jones, William B., Olav Njåstad and W. J. Thron, "Continued Fractions and Strong Hamburger Moment Problems", Proc. London Math. Soc. (3), 47 (1983), 363–384.

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  4. Jones, William B. and W. J. Thron, "Survey of Continued Fraction Methods of Solving Moment Problems and Related Topics", Analytic Theory of Continued Fractions, Proc., Loen, Norway, 1981, Lecture Notes in Mathematics 932 (Springer, Berlin, 1982), 4–37.

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  5. Jones, William B. and W. J. Thron, "Orthogonal Laurent Polynomials and the Strong Hamburger Moment Problem", J. Math. Anal. Appl. (2), 98 (1984), 528–554.

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  6. Jones, William B., W. J. Thron and H. Waadeland, "A strong Stieltjes moment problem", Trans. Amer. Math. Soc. (1980), 503–528.

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  7. McCabe, J. H., "A Formal Extension of the Padé Table to include two-point Padé quotients", J. Inst. Math. Appls. 15 (1975), 362–372.

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  8. Sri Ranga, A., "Ĵ-fractions and Strong Moment Problems", these proceedings.

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© 1986 Springer-Verlag

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Cooper, S.C. (1986). On M-tables associated with strong moment problems. In: Thron, W.J. (eds) Analytic Theory of Continued Fractions II. Lecture Notes in Mathematics, vol 1199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075932

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  • DOI: https://doi.org/10.1007/BFb0075932

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  • Print ISBN: 978-3-540-16768-6

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