A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas

Dimitrov, D. K. [UNESP]Ismail, M. E HSri Ranga, A. [UNESP]2014-05-272014-05-272013-01-01Applied Numerical Mathematics, v. 65, p. 41-52.0168-9274http://hdl.handle.net/11449/74156The 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.41-52engHypergeometric polynomialsPara-orthogonal polynomialsQuadrature rulesExtremalGaussian type quadratureOrthogonal propertyQuadrature formulaUnit circlesComputational methodsMathematical techniquesPolynomialsA class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulasArtigo10.1016/j.apnum.2012.11.002WOS:000314447900003Acesso restrito2-s2.0-8487155275216812677169712533587123309745610