Smallest zeros of some types of orthogonal polynomials : asymptotics

@inproceedings{MorenoBalczara2005SmallestZO,
  title={Smallest zeros of some types of orthogonal polynomials : asymptotics},
  author={Juan Jos{\'e} Moreno-Balc{\'a}zara},
  year={2005}
}
  • Juan José Moreno-Balcázara
  • Published 2005
WeestablishMehler–Heine-type formulas for orthogonal polynomials related to rationalmodificationsofHermite weight on the real line and for Hermite–Sobolev orthogonal polynomials. These formulas give us the asymptotic behaviour of the smallest zeros of the corresponding orthogonal polynomials. Furthermore, we solve a conjecture posed in a previous paper about the asymptotics of the smallest zeros of the Hermite–Sobolev polynomials as well as an open problem concerning the asymptotics of these… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 19 references

Rezola, Laguerre–Sobolev orthogonal polynomials: asymptotics for coherent pairs of type II

M.Alfaro, M.L.J.J. Moreno-Balcázar
J. Approx. Theory • 2003
View 1 Excerpt

A Mehler – Heine-type formula for Hermite – Sobolev orthogonal polynomials

Laura Castaño-Garc, Juan J. Moreno-Balc
2002
View 3 Excerpts

Companion orthogonal polynomials: some applications

A. C. Berti, A. Sri Ranga
Appl. Numer. Math. 39 (2) • 2001
View 1 Excerpt

Sri Ranga , Companion orthogonal polynomials : some applications

A. A. C. Berti
Appl . Numer . Math . • 2001

Similar Papers

Loading similar papers…