Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. LÓPEZ, On the convergence of the Padé approximants for meromorphic functions of Stielties type, Math. Sb. 111 (1980), 308–316; English transl. in Math. USSR Sb. 38 (1981), 281–288.
A.A. GONČAR, On the convergence of Padé approximants for some classes of meromorphic functions, Mat. Sb. 97 (1975), 607–629; English transl. in Math. USSR Sb 26 (1975), 555–575.
E.A. RAHMANOV, On the asymptotics of the natio of orthogonal polynomials, Math. Sb. 103 (1977), 237–252; English transl. in Math. USSR Sb. 32 (1977), 199–213.
E.A. RAHMANOV, On the asymptotics of the natio of onthogonal polynomials II, Mat. Sb. 118 (1982), 104–117; English transl. in Math. USSR Sb. 46 (1983), 105–117.
E.A. RAHMANOV, On the convergence of diagonal Padé approximants, Mat. Sb. 104 (1977), 271–291; English transl. in Math. USSR Sb. 33 (1977), 243–260.
G. LÓPEZ, On the moment problem and the convergence of Padé approximants for meromorphic functions of Stielties type. Proc. Int. Conf. on Const. Function Theory, Sofia, 1983, 419–424.
J. ILLÁN and G. LÓPEZ, Multipoint Padé approximation to meromorphic functions of Stieltjes type, Revista Ciencias Mat. 2 (1981), 43–65.
A.A. GONČAR and G. LÓPEZ, On Markov's theorem for multipoint Padé approximants, Mat. Sb. 105 (1978), 512–524; English transl. in Math USSR Sb. 34 (1978), 449–459.
G. LÓPEZ, Conditions for convergence of multipoint Padé approximants for functions of Stieltjes type, Mat. Sb. 107 (1978), 69–83; English transl. in Math. USSR Sb. 35 (1979), 363–376.
J. GELFGREN, Multipoint Padé approximants converging to functions of Stieltjes type, Proc. Conf. Padé approximation and its appl., Amsterdam, L. Notes in Math. 888, Springer-Verlag, Berlin, 1981, 197–207.
G. LÓPEZ, On the asymptotics of the ratio of polynomials orthogonal with respect to varying measures, to appear in Mat. Sb.
A. MATE, P. NEVAI and V. TOTIK, Asymptotics for the ratio of the Leading coefficients of orthonormal polynomials on the unit circle, Constructive Approximation 1 (1985), 63–69.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Lagomasino, G.L. (1985). Survey on multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them. In: Brezinski, C., Draux, A., Magnus, A.P., Maroni, P., Ronveaux, A. (eds) Polynômes Orthogonaux et Applications. Lecture Notes in Mathematics, vol 1171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076559
Download citation
DOI: https://doi.org/10.1007/BFb0076559
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16059-5
Online ISBN: 978-3-540-39743-4
eBook Packages: Springer Book Archive