Abstract
Rational approximants, in the Pade sense, to a given formal Laurent series,F(z)=Σ −∞ ∞ c k z k , have been considered by several authors (see [3] for a survey about the different kinds of approximants which can be defined). In this paper, we shall be concerned with symmetric series, that is, when the complex coefficients {c k } −∞ +∞ satisfyc −k=c k,k=0, 1,.... Making use of Brezinski's approach [1], for Pade-type approximation to a formal power series, rational approximants toF(z) with prescribed poles are obtained, and their algebraic properties considered. These results will allow us to give an alternative approach for the Pade-Chebyshev approximants.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
