Padé Approximants in Complex Points Revisited

Fahima Hebhoub (1, 2) , Lidiya Yushchenko (1, 2)

1 CPT - E5 Physique statistique et systèmes complexes
2 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Physique mathématique [math-ph]

Fahima Hebhoub, Lidiya Yushchenko. Padé Approximants in Complex Points Revisited. International Journal of Mathematics and Mathematical Sciences, 2011, 2011, pp.324865. ⟨10.1155/2011/324865⟩. ⟨hal-01299353⟩