Geodesic
Generalized Pollaczek polynomials
Sbornik. Mathematics, Tome 200 (2009) no. 4, pp. 577-595

Voir la notice de l'article provenant de la source Math-Net.Ru

For multiple orthogonal polynomials with respect to two Pollaczek weight functions weak asymptotics are obtained. It is shown that a solution of a vector equilibrium problem of the theory of logarithmic potential in the presence of an external field and with restriction imposed on the measures is given by the limit measure of the distribution of zeros. Bibliography: 17 titles.
Keywords: Pollaczek polynomials, vector equilibrium problem.
Mots-clés : multiple orthogonal polynomials 
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     author = {V. N. Sorokin},
     title = {Generalized {Pollaczek} polynomials},
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     number = {4},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_4_a5/}
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V. N. Sorokin. Generalized Pollaczek polynomials. Sbornik. Mathematics, Tome 200 (2009) no. 4, pp. 577-595. http://geodesic.mathdoc.fr/item/SM_2009_200_4_a5/