Access the full text.
Sign up today, get DeepDyve free for 14 days.
D. Rolanía, G. Lagomasino, E. Saff (2003)
Determining radii of meromorphy via orthogonal polynomials on the unit circleJ. Approx. Theory, 124
S. Suetin (1982)
ON MONTESSUS DE BALLORE'S THEOREM FOR RATIONAL APPROXIMANTS OF ORTHOGONAL EXPANSIONSMathematics of The Ussr-sbornik, 42
VI Buslaev (2009)
An analogue of Fabry’s theorem for generalized Padé approximantsMath. Sb., 200
(1996)
Padé approximants, 2nd edn
S. Suetin (2002)
Padé approximants and efficient analytic continuation of a power seriesRussian Mathematical Surveys, 57
H. Widom (1969)
Extremal polynomials associated with a system of curves in the complex planeAdvances in Mathematics, 3
V. Buslaev (2009)
An analogue of Fabry's theorem for generalized Padé approximantsSbornik Mathematics, 200
E. Miña-Díaz (2010)
Asymptotics for polynomials orthogonal over the unit disk with respect to a positive polynomial weightJournal of Mathematical Analysis and Applications, 372
V. Prokhorov (1994)
RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONSSbornik Mathematics, 78
B Simon (2011)
Szegő’s Theorem and its Descendants
SP Suetin (1985)
On an inverse problem for the $$m$$ m th row of the Padé tableSb. Math., 52
SP Suetin (1997)
Asymptotics of the denominators of the diagonal Padé approximations of orthogonal expansionsDokl. Ross. Akad. Nauk., 56
E. Miña-Díaz (2007)
An Expansion for Polynomials Orthogonal Over an Analytic Jordan CurveCommunications in Mathematical Physics, 285
D. Rolanía, G. Lagomasino, E. Saff (2001)
Asymptotics of orthogonal polynomials inside the unit circle and Szegő-Padé approximantsJournal of Computational and Applied Mathematics, 133
A. Gonchar, E. Rakhmanov, S. Suetin (1992)
On the Rate of Convergence of Padé Approximants of Orthogonal Expansions
(2002)
Generalized Vandermonde determinants and applications
Erwin Mina-D'iaz (2007)
An Asymptotic Integral Representation for Carleman Orthogonal PolynomialsInternational Mathematics Research Notices, 2008
G. Goluzin (1969)
Geometric theory of functions of a complex variable
D. Lubinsky, A. Sidi (1983)
Convergence of linear and nonlinear Padé approximants from series of orthogonal polynomialsTransactions of the American Mathematical Society, 278
V. Buslaev (2006)
On the Fabry ratio theorem for orthogonal seriesProceedings of the Steklov Institute of Mathematics, 253
A. Gončar (1975)
ON CONVERGENCE OF PADÉ APPROXIMANTS FOR SOME CLASSES OF MEROMORPHIC FUNCTIONSMathematics of The Ussr-sbornik, 26
AA Gonchar (2011)
Rational approximation of analytic functionsProc. Steklov Inst. Math., 272
J. Junker (2016)
Introduction To Approximation Theory
N. Stylianopoulos (2009)
Strong Asymptotics for Bergman Polynomials over Domains with Corners and ApplicationsConstructive Approximation, 38
C. Brezinski (1980)
General orthogonal polynomials
P. Suetin (1966)
FUNDAMENTAL PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A CONTOURRussian Mathematical Surveys, 21
B. Simon (2010)
Szegő's Theorem and Its Descendants: Spectral Theory for L 2 Perturbations of Orthogonal Polynomials
VI Buslaev (2006)
On the Fabry ratio theorem for orthogonal series. Complex analysis and applicationsProc. Steklov Inst. Math., 253
AA Gonchar, EA Rakhmanov, SP Suetin (1993)
On the convergence of Padé approximations of orthogonal expansionsProc. Steklov Inst. Math., 200
VA Kaliaguine (1995)
A note on the asymptotics of orthogonal polynomials on a complex arc: the case of a measure with a discrete partJ. Approx. Theory, 80
D. Rolanía, G. Lagomasino (1999)
Ratio Asymptotics for Polynomials Orthogonal on Arcs of the Unit CircleConstructive Approximation, 15
S. Suetin (1985)
On AN Inverse Problem for the mTH Row of the PADÉ TableMathematics of The Ussr-sbornik, 52
Brian Simanek (2013)
Ratio Asymptotics, Hessenberg Matrices, and Weak Asymptotic MeasuresInternational Mathematics Research Notices, 2014
P. Suetin (1974)
Polynomials orthogonal over a region and Bieberbach polynomials
N. Bosuwan, G. Lagomasino, E. Saff (2013)
Determining Singularities Using Row Sequences of Padé-orthogonal ApproximantsarXiv: Complex Variables
J. Cacoq, B. Ysern, G. López Lagomasino (2013)
Direct and Inverse Results on Row Sequences of Hermite–Padé ApproximantsConstructive Approximation, 38
J. Cacoq, G. Lagomasino (2012)
Convergence of row sequences of simultaneous Fourier-Pad\'e approximationarXiv: Classical Analysis and ODEs
M. Bello, Herná Ndez, G. Lagomasino (1998)
Ratio and Relative Asymptotics of Polynomials Orthogonal on an Arc of the Unit CircleJournal of Approximation Theory, 92
H. Maehly (1959)
Rational approximations for transcendental functions
S. Suetin (1980)
INVERSE THEOREMS ON GENERALIZED PADÉ APPROXIMANTSMathematics of The Ussr-sbornik, 37
S. Suetin (1978)
ON THE CONVERGENCE OF RATIONAL APPROXIMATIONS TO POLYNOMIAL EXPANSIONS IN DOMAINS OF MEROMORPHY OF A GIVEN FUNCTIONMathematics of The Ussr-sbornik, 34
A. Gončar (1975)
ON THE CONVERGENCE OF GENERALIZED PADÉ APPROXIMANTS OF MEROMORPHIC FUNCTIONSMathematics of The Ussr-sbornik, 27
G. Szegő (1921)
Über orthogonale Polynome, die zu einer gegebenen Kurve der komplexen Ebene gehörenMathematische Zeitschrift, 9
V. Kaliaguine (1995)
A Note on the Asymptotics of Orthogonal Polynomials on a Complex ArcJournal of Approximation Theory, 80
(1923)
Über die Approximation analytischer Funktionen durch lineare Aggregate von vorgegebenen Potenzen
(1972)
Generalizations of Padé Approximants
We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Padé-orthogonal approximants corresponding to a measure supported on a general compact set in the complex plane. Thereby, we obtain an analog of Gonchar’s theorem on row sequences of Padé approximants.
Computational Methods and Function Theory – Springer Journals
Published: May 15, 2015
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.