On Freud–Sobolev type orthogonal polynomials

Luis E. Garza*, Edmundo J. Huertas, Francisco Marcellán

*Autor correspondiente de este trabajo

Producción científicarevisión exhaustiva

4 Citas (Scopus)

Resumen

In this contribution we deal with sequences of monic polynomials orthogonal with respect to the Freud Sobolev-type inner product 〈p,q〉1=∫Rp(x)q(x)e-x4dx+M0p(0)q(0)+M1p′(0)q′(0),where p, q are polynomials, M and M 1 are nonnegative real numbers. Connection formulas between these polynomials and Freud polynomials are deduced and, as an application, an algorithm to compute their zeros is presented. The location of their zeros as well as their asymptotic behavior is studied. Finally, an electrostatic interpretation of them in terms of a logarithmic interaction in the presence of an external field is given.

Idioma originalEnglish
Páginas (desde-hasta)505-528
Número de páginas24
PublicaciónAfrika Matematika
Volumen30
N.º3-4
DOI
EstadoPublished - 1 jun 2019
Publicado de forma externa

Nota bibliográfica

Publisher Copyright:
© 2019, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

All Science Journal Classification (ASJC) codes

  • Matemáticas General

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