On the boundedness of poles of generalized Padé approximants

On the boundedness of poles of generalized Padé approximants

Abstract Given a function F holomorphic on a neighborhood of some compact subset of the complex plane, we prove that if the zeros of the denominators of generalized Padé approximants (orthogonal Padé approximants and Padé–Faber approximants) for some row sequence remain uniformly bounded, then eithe...

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Bibliographic Details
Main Author: Nattapong Bosuwan
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Advances in Difference Equations
Subjects:
Padé approximation
Orthogonal polynomials
Faber polynomials
Difference equations
Inverse results
Online Access:http://link.springer.com/article/10.1186/s13662-019-2081-9

Internet

http://link.springer.com/article/10.1186/s13662-019-2081-9

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