Padé Approximants in Complex Points Revisited

The class of complexsymmetric functions contains the Stieltjes functions. The aim of this work is to give some new results concerning the location of zeros and poles of Padé approximants using the Taylor series of functions developed in neighborhoods of complex points and their conjugate points.

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Main Authors: Fahima Hebhoub, Lidiya Yushchenko
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/324865
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author Fahima Hebhoub
Lidiya Yushchenko
author_facet Fahima Hebhoub
Lidiya Yushchenko
author_sort Fahima Hebhoub
collection DOAJ
description The class of complexsymmetric functions contains the Stieltjes functions. The aim of this work is to give some new results concerning the location of zeros and poles of Padé approximants using the Taylor series of functions developed in neighborhoods of complex points and their conjugate points.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2dd5c7a02d6d45febd18cd4a537ece602025-02-03T06:01:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/324865324865Padé Approximants in Complex Points RevisitedFahima Hebhoub0Lidiya Yushchenko1Centre de Physique Théorique, CNRS, Luminy Case 907, 13288 Marseille Cedex 09, FranceCentre de Physique Théorique, CNRS, Luminy Case 907, 13288 Marseille Cedex 09, FranceThe class of complexsymmetric functions contains the Stieltjes functions. The aim of this work is to give some new results concerning the location of zeros and poles of Padé approximants using the Taylor series of functions developed in neighborhoods of complex points and their conjugate points.http://dx.doi.org/10.1155/2011/324865
spellingShingle Fahima Hebhoub
Lidiya Yushchenko
Padé Approximants in Complex Points Revisited
International Journal of Mathematics and Mathematical Sciences
title Padé Approximants in Complex Points Revisited
title_full Padé Approximants in Complex Points Revisited
title_fullStr Padé Approximants in Complex Points Revisited
title_full_unstemmed Padé Approximants in Complex Points Revisited
title_short Padé Approximants in Complex Points Revisited
title_sort pade approximants in complex points revisited
url http://dx.doi.org/10.1155/2011/324865
work_keys_str_mv AT fahimahebhoub padeapproximantsincomplexpointsrevisited
AT lidiyayushchenko padeapproximantsincomplexpointsrevisited