Geodesic
Lp extremal polynomials. Results and perspectives
Serdica Mathematical Journal, Tome 32 (2006) no. 2-3, pp. 99-130

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Let α = β+γ be a positive finite measure defined on the Borel sets of C, with compact support, where β is a measure concentrated on a closed Jordan curve or on an arc (a circle or a segment) and γ is a discrete measure concentrated on an infinite number of points. In this survey paper, we present a synthesis on the asymptotic behaviour of orthogonal polynomials or Lp extremal polynomials associated to the measure α. We analyze some open problems and discuss new ideas related to their solving.
Keywords: Asymptotic Behaviour, Orthogonal Polynomials, Lp Extremal Polynomials, Curve, Arc, Circle, Segment 
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     title = {Lp extremal polynomials. {Results} and perspectives},
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Laskri, Yamina; Benzine, Rachid. Lp extremal polynomials. Results and perspectives. Serdica Mathematical Journal, Tome 32 (2006) no. 2-3, pp. 99-130. http://geodesic.mathdoc.fr/item/SMJ2_2006_32_2-3_a0/