Title

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

Authors

Authors

D. K. Dimitrov; M. E. H. Ismail;A. S. Ranga

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Appl. Numer. Math.

Keywords

Hypergeometric polynomials; Para-orthogonal polynomials; Quadrature; rules; FREQUENCY-ANALYSIS; Mathematics, Applied

Abstract

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.

Journal Title

Applied Numerical Mathematics

Volume

65

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

41

Last Page

52

WOS Identifier

WOS:000314447900003

ISSN

0168-9274

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