Artículos de revistas
A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas
Fecha
2013-01-01Registro en:
Applied Numerical Mathematics, v. 65, p. 41-52.
0168-9274
10.1016/j.apnum.2012.11.002
WOS:000314447900003
2-s2.0-84871552752
1681267716971253
3587123309745610
Autor
Universidade Estadual Paulista (Unesp)
University of Central Florida
Institución
Resumen
The class of hypergeometric polynomials F12(-m,b;b+b̄;1-z) with respect to the parameter b=λ+iη, where λ>0, are known to have all their zeros simple and exactly on the unit circle |z|=1. In this note we look at some of the associated extremal and orthogonal properties on the unit circle and on the interval (-1,1). We also give the associated Gaussian type quadrature formulas. © 2012 IMACS.