A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas
Abbreviated Journal Title
Appl. Numer. Math.
Hypergeometric polynomials; Para-orthogonal polynomials; Quadrature; rules; FREQUENCY-ANALYSIS; Mathematics, Applied
The class of hypergeometric polynomials F-2(1) (-m, b; b + (b) over bar; 1 - z) with respect to the parameter b = lambda + i eta, where lambda > 0, are known to have all their zeros simple and exactly on the unit circle vertical bar z vertical bar = 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. (c) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
Applied Numerical Mathematics
"A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas" (2013). Faculty Bibliography 2010s. 3896.