Extremal properties of Padé quotients



Extremal Property 
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  1. [1]
    O. Perron,Die Lehre von den Kettenbrüchen,2 Teubner (Stuttgart, 1957).Google Scholar
  2. [2]
    H. S. Wall,Analytic theory of continued fractions, Van Nostrand (Princeton, 1948).MATHGoogle Scholar
  3. [3]
    R. Nevanlinna, Asymptotische Entwicklungen beschränkter Funktionen und das Stieltjes'sche Momentenproblem,Ann. Acad. Sci. Fenn., Ser. A,18 (1922).Google Scholar
  4. [4]
    H. Hamburger, Über eine Erweiterung des Stieltjes'schen Momentenproblems,Math. Ann.,81 (1920), pp. 235–319;82 (1921), pp. 120–164, 168–187.MathSciNetCrossRefMATHGoogle Scholar
  5. [5]
    T. J. Stieltjes, Recherches sur les fractions continues,Ann. Fac. Sci. Toulouse,8 (1894), pp. 1–122;9 (1895), pp. 1–47.MathSciNetCrossRefGoogle Scholar
  6. [6]
    H. Padé, Sur la représentation approchée d'une fonction par des fractions rationnelles,Ann. Sci. Ecole Norm. Sup.,9 (1892) (Supplément), pp. 1–93.Google Scholar
  7. [7]
    H. S. Wall, On the Padé approximants associated with a positive definite power series,Trans. Amer. Math. Soc.,33 (1931), pp. 511–532.MathSciNetMATHGoogle Scholar
  8. [8]
    E. B. Van Vleck, On an extension of the 1894 memoir of Stieltjes,Trans. Amer. Math. Soc.,4 (1903), pp. 297–332.MathSciNetCrossRefMATHGoogle Scholar
  9. [9]
    H. S. Wall, On the Padé approximants associated with the continued fraction and series of Stieltjes,Trans. Amer. Math. Soc.,31 (1929), pp. 91–116.MathSciNetMATHGoogle Scholar
  10. [10]
    P. Wynn, Upon the Padé table derived from a Stieltjes series,SIAM Jour. Numer. Anal.,5 (1968), pp. 805–834.MathSciNetCrossRefMATHGoogle Scholar
  11. [11]
    P. Wynn, Upon a convergence result in the theory of the Padé table,Trans. Amer. Math. Soc.,165 (1972), pp. 239–249.MathSciNetMATHGoogle Scholar

Copyright information

© Akadémiai Kiadó 1974

Authors and Affiliations

  • P. Wynn
    • 1
  1. 1.Mathematical Research CentreUniversity of MontrealMontreal 101Canada

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