@misc{10481/32636, year = {2005}, url = {http://hdl.handle.net/10481/32636}, abstract = {In this paper we study the asymptotic behavior of sequences of Heine-Stieltjes and Van Vleck polynomials for a class of generalized Lamé differential equations connected with certain equilibrium problems on the unit circle.}, organization = {The research of A.M.F. and P.M.G. was partially supported by the Ministry of Science and Technology (MCYT) of Spain through the grant BFM2001-3878-C02-02, and by Junta de Andalucía through Grupo de Investigación FQM 0229. A.M.F. acknowledges also the support of the European Research Network on Constructive Complex Approximation (NeCCA), INTAS 03-51-6637, and of NATO Collaborative Linkage Grant “Orthogonal Polynomials: Theory, Applications and Generalizations,” ref. PST.CLG.979738. The research of R.O. was partially supported by grants from Spanish MCYT (Research Project BFM2001-3411) and Gobierno Autónomo de Canarias (Research Project PI2002/136).}, publisher = {Kent State University. Institute of Computational Mathematics}, keywords = {Heine-Stieltjes polynomials}, keywords = {Van Vleck polynomials}, keywords = {Zeros}, keywords = {Asymptotics}, title = {Asymptotics of polynomial solutions of a class of generalized Lamé differential equations}, author = {Martínez-Finkelshtein, A. and Martínez-González, Pilar and Orive, R.}, }