Geodesic
Some semiclassical orthogonal polynomials of class one
Eurasian mathematical journal, Tome 2 (2011) no. 2, pp. 108-128

Voir la notice de l'article provenant de la source Math-Net.Ru

In this work, we will solve the Laguerre-Freud equations for the recurrence coefficients of the semiclassical orthogonal polynomials of class one in a particular case. The integral representation and, as a consequence, the moments of the corresponding form are obtained. Furthermore, both the characteristic elements of the structure relation and of the second-order differential equation are explicitly given. 
@article{EMJ_2011_2_2_a5,
     author = {P. Maroni and M. Mejri},
     title = {Some semiclassical orthogonal polynomials of class one},
     journal = {Eurasian mathematical journal},
     pages = {108--128},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2011_2_2_a5/}
}
TY  - JOUR
AU  - P. Maroni
AU  - M. Mejri
TI  - Some semiclassical orthogonal polynomials of class one
JO  - Eurasian mathematical journal
PY  - 2011
SP  - 108
EP  - 128
VL  - 2
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2011_2_2_a5/
LA  - en
ID  - EMJ_2011_2_2_a5
ER  - 
%0 Journal Article
%A P. Maroni
%A M. Mejri
%T Some semiclassical orthogonal polynomials of class one
%J Eurasian mathematical journal
%D 2011
%P 108-128
%V 2
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2011_2_2_a5/
%G en
%F EMJ_2011_2_2_a5
P. Maroni; M. Mejri. Some semiclassical orthogonal polynomials of class one. Eurasian mathematical journal, Tome 2 (2011) no. 2, pp. 108-128. http://geodesic.mathdoc.fr/item/EMJ_2011_2_2_a5/