Asymptotics for Polynomials Satisfying a Certain Twin Asymptotic Periodic Recurrence Relation: Unbounded Cases
de Andrade, E.X.L. ; Kurokawa, F.A. ; Ranga, A. Sri Ranga
Methods Appl. Anal., Tome 14 (2007) no. 1, p. 29-44 / Harvested from Project Euclid
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/