Asymptotics of polynomial solutions of a class of generalized Lamé differential equations
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 18-28
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
Keywords: heine-Stieltjes polynomials, Van vleck polynomials, zeros, asymptotics
@article{ETNA_2005__19__a8,
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},
year = {2005},
volume = {19},
zbl = {1094.34551},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a8/}
}
TY - JOUR AU - Martinez-Finkelshtein, A. AU - Martinez-González, P. AU - Orive, R. TI - Asymptotics of polynomial solutions of a class of generalized Lamé differential equations JO - Electronic transactions on numerical analysis PY - 2005 SP - 18 EP - 28 VL - 19 UR - http://geodesic.mathdoc.fr/item/ETNA_2005__19__a8/ LA - en ID - ETNA_2005__19__a8 ER -
%0 Journal Article %A Martinez-Finkelshtein, A. %A Martinez-González, P. %A Orive, R. %T Asymptotics of polynomial solutions of a class of generalized Lamé differential equations %J Electronic transactions on numerical analysis %D 2005 %P 18-28 %V 19 %U http://geodesic.mathdoc.fr/item/ETNA_2005__19__a8/ %G en %F ETNA_2005__19__a8
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/