Geodesic
Asymptotics for extremal polynomials with varying measures
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 29-36
In this paper, we give strong asymptotics of extremal polynomials with respect to varying measures of the form d$\sigma n = d\sigma $, where $\sigma $is a positive measure on a closed analytic Jordan curve C, and Y |Y |p n is a n sequence of polynomials such that for each n, Yn has exactly degree n and all its zeros $(\alpha n,i)$, i = 1, 2, . . ., lie in the exterior of C.
Classification : 30E10, 41A20, 42C05
Keywords: rational approximation, orthogonal polynomials, varying measures 
@article{ETNA_2005__19__a7,
     author = {Bello Hern\'andez,  M. and M{\'\i}nguez Ceniceros,  J.},
     title = {Asymptotics for extremal polynomials with varying measures},
     journal = {Electronic transactions on numerical analysis},
     pages = {29--36},
     year = {2005},
     volume = {19},
     zbl = {1117.30029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a7/}
}
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Bello Hernández,  M.; Mínguez Ceniceros,  J. Asymptotics for extremal polynomials with varying measures. Electronic transactions on numerical analysis, Tome 19 (2005), pp. 29-36. http://geodesic.mathdoc.fr/item/ETNA_2005__19__a7/