Asymptotics of polynomial solutions of a class of generalized Lamé differential equations
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 18-28.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we study the asymptotic behavior of sequences of Heine-Stieltjes and Van Vleck polynomials for a class of generalized Lam$\acute e$ differential equations connected with certain equilibrium problems on the unit circle.
Classification : 33C45
Keywords: heine-Stieltjes polynomials, Van vleck polynomials, zeros, asymptotics
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     author = {Martinez-Finkelshtein, A. and Martinez-Gonz\'alez, P. and Orive, R.},
     title = {Asymptotics of polynomial solutions of a class of generalized {Lam\'e} differential equations},
     journal = {Electronic transactions on numerical analysis},
     pages = {18--28},
     publisher = {mathdoc},
     volume = {19},
     year = {2005},
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     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a8/}
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Martinez-Finkelshtein, A.; Martinez-González, P.; Orive, R. Asymptotics of polynomial solutions of a class of generalized Lamé differential equations. Electronic transactions on numerical analysis, Tome 19 (2005), pp. 18-28. http://geodesic.mathdoc.fr/item/ETNA_2005__19__a8/