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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A modified Schur algorithm and an extended Hamburger moment problem


Author: Olav Njåstad
Journal: Trans. Amer. Math. Soc. 327 (1991), 283-311
MSC: Primary 30E05; Secondary 30B70, 44A60
DOI: https://doi.org/10.1090/S0002-9947-1991-1024773-1
MathSciNet review: 1024773
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Abstract: An algorithm for a Pick-Nevanlinna problem where the interpolation points coalesce into a finite set of points on the real line is introduced, its connection with certain multipoint Padé approximation problems is discussed, and the results are used to obtain the solutions of an extended Hamburger moment problem.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1991-1024773-1
Keywords: Asymptotic expansions, multipoint Padé approximants, extended Hamburger moment problem
Article copyright: © Copyright 1991 American Mathematical Society