Polynomials satisfying a certain twin asymptotic periodic recurrence relation are
considered. It is assumed that the coefficients of the recurrence formula are
unbounded but vary regularly and have different behaviour for even and odd
indices. The asymptotic behaviour of the ratio of contiguous polynomials is
analyzed.
Publié le : 2007-03-15
Classification:
Orthogonal L-polynomials,
Stieltjes transforms,
three term recurrence relation,
42C05,
30C15,
40A30
@article{1203000109,
author = {de Andrade, E.X.L. and Kurokawa, F.A. and Ranga, A. Sri Ranga},
title = {Asymptotics for Polynomials Satisfying a Certain Twin Asymptotic Periodic
Recurrence Relation: Unbounded Cases},
journal = {Methods Appl. Anal.},
volume = {14},
number = {1},
year = {2007},
pages = { 29-44},
language = {en},
url = {http://dml.mathdoc.fr/item/1203000109}
}
de Andrade, E.X.L.; Kurokawa, F.A.; Ranga, A. Sri Ranga. Asymptotics for Polynomials Satisfying a Certain Twin Asymptotic Periodic
Recurrence Relation: Unbounded Cases. Methods Appl. Anal., Tome 14 (2007) no. 1, pp. 29-44. http://gdmltest.u-ga.fr/item/1203000109/