Survey on multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them

1985 ◽  
pp. 309-316 ◽  
Author(s):  
G. López Lagomasino
Keyword(s):  
Orthogonal Polynomials ◽  
Meromorphic Functions ◽  
Padé Approximation ◽  
Asymptotic Properties ◽  
Pade Approximation ◽  
Markov Type ◽  
Multipoint Padé Approximation

scholarly journals Szegö functions and multipoint Padé approximation

1990 ◽  
Vol 32 (1-2) ◽  
pp. 107-116 ◽  
Author(s):  
Pablo González-Vera ◽  
Olav Njåstad
Keyword(s):  
Padé Approximation ◽  
Pade Approximation ◽  
Multipoint Padé Approximation

scholarly journals Hermite-Padé approximation for certain systems of meromorphic functions

2015 ◽  
Vol 206 (2) ◽  
pp. 225-241 ◽  
Author(s):  
G L López ◽  
S Medina Peralta ◽  
U Fidalgo Prieto
Keyword(s):  
Meromorphic Functions ◽  
Padé Approximation ◽  
Pade Approximation

scholarly journals The Legacy of Peter Wynn

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1240
Author(s):  
Claude Brezinski ◽  
F. Alexander Norman ◽  
Michela Redivo-Zaglia
Keyword(s):  
Orthogonal Polynomials ◽  
Continued Fractions ◽  
Padé Approximation ◽  
Mathematical Community ◽  
Abstract Algebra ◽  
Moment Problems ◽  
Pade Approximation ◽  
Good Shape ◽  
New Research ◽  
First Time

After the death of Peter Wynn in December 2017, manuscript documents he left came to our knowledge. They concern continued fractions, rational (Padé) approximation, Thiele interpolation, orthogonal polynomials, moment problems, series, and abstract algebra. The purpose of this paper is to analyze them and to make them available to the mathematical community. Some of them are in quite good shape, almost finished, and ready to be published by anyone willing to check and complete them. Others are rough notes, and need to be reworked. Anyway, we think that these works are valuable additions to the literature on these topics and that they cannot be left unknown since they contain ideas that were never exploited. They can lead to new research and results. Two unpublished papers are also mentioned here for the first time.

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