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A modified Schur algorithm and an extended Hamburger moment problem

1991
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Transactions of the American Mathematical Society
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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. (A function F(z) which is analytic for z £ HQ+ with ImF(z) > 0 is called a Nevanlinna function.) The problem was solved by Pick [27, 28] in the case that A is finite, by Nevanlinna [15,

doi:10.1090/s0002-9947-1991-1024773-1
fatcat:2of6ogwnt5fijaybyk2v7vmqai