On the backward extension of positive definite Hamburger moment sequences
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- by Fred M. Wright PDF
- Proc. Amer. Math. Soc. 7 (1956), 413-422 Request permission
References
- Hubert S. Wall, On the Padé approximants associated with the continued fraction and series of Stieltjes, Trans. Amer. Math. Soc. 31 (1929), no. 1, 91–116. MR 1501470, DOI 10.1090/S0002-9947-1929-1501470-X
- Fred M. Wright, A transformation for $S$-fractions, Proc. Amer. Math. Soc. 5 (1954), 888–901. MR 65674, DOI 10.1090/S0002-9939-1954-0065674-8
- Hans Hamburger, Über eine Erweiterung des Stieltjesschen Momentenproblems, Math. Ann. 82 (1921), no. 3-4, 168–187 (German). MR 1511981, DOI 10.1007/BF01498663 M. Riesz, Sur le problème des moments. Première note, Arkiv för Mathematik, Astronomi och Fysik vol. 16 (1921) article 12.
- H. S. Wall, On the Padé approximants associated with a positive definite power series, Trans. Amer. Math. Soc. 33 (1931), no. 2, 511–532. MR 1501603, DOI 10.1090/S0002-9947-1931-1501603-4
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 413-422
- MSC: Primary 40.0X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0080175-0
- MathSciNet review: 0080175