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References
G.A. Baker, Jr. and P. Graves-Morris, Padé Approximants, I, II, Encyclopedia of Mathematics and its Applications 13,14, Addison-Wesley Publ. Co. (1980).
C.K. Chui, "Recent results on Padé approximants and related problems", Approximation Theory II (Eds.: C.C. Lorentz, C.K. Chui and L.L. Schumaker), Academic Press (1976), 79–115.
M.A. Galucci and W.B. Jones, "Rational approximations corresponding to Newton series (Newton-Padé approximants)," J. Approximation Theory 17 (1976), 366–392.
E. Hendriksen and O. Njåstad, "A Favard type theorem for rational functions," J. Math. Anal. Appl., to appear.
E. Hendriksen and O. Njåstad, "Positive multipoint Padé continued fractions," Proc. Edinburgh Math. Soc. 32 (1989), 261–269.
W.B. Jones and W.J. Thron, Continued Fractions: Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications 12, Addison-Wesley Publ. Co. (1980).
J. Karlsson, "Rational interpolation and best rational approximation," J. Math. Anal. Appl. 52 (1976), 38–52.
O. Njåstad, "An extended Hamburger moment problem", Proc. Edinburgh Math. Soc. (Series II) 28 (1985), 167–183.
O. Njåstad, "Unique solvability of an extended Hamburger moment problem," J. Math. Anal. Appl. 24 (1987), 502–519.
O. Njåstad, "A multipoint Padé approximation problem," Analytic Theory of Continued Fractions II (Ed.: W.J. Thron), Springer Lecture Notes in Mathematics 1199 (1986), 263–268.
O. Njåstad, "Multipoint Padé approximation and orthogonal rational functions," Nonlinear Numerical Methods and Rational Approximation, (Ed.: A. Cuyt), Reidel Publishing Co. (1988), 259–270.
E.B. Saff, "An extension of Montessus de Ballore’s theorem on the convergence of interpolation rational functions," J. Approximation Theory 6 (1972), 63–67.
H. Wallin, "Rational interpolation to meromorphic functions," Padé Approximation and its Applications (Eds.: M.G. de Bruin and H. van Rossum), Springer Lecture Notes in Mathematics 888 (1981), 371–382.
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Njåstad, O. (1989). Multipoint Pade approximants and related continued fractions. In: Jacobsen, L. (eds) Analytic Theory of Continued Fractions III. Lecture Notes in Mathematics, vol 1406. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096167
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DOI: https://doi.org/10.1007/BFb0096167
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