Title
A Class Of Hypergeometric Polynomials With Zeros On The Unit Circle: Extremal And Orthogonal Properties And Quadrature Formulas
Keywords
Hypergeometric polynomials; Para-orthogonal polynomials; Quadrature rules
Abstract
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.
Publication Date
1-1-2013
Publication Title
Applied Numerical Mathematics
Volume
65
Number of Pages
41-52
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.apnum.2012.11.002
Copyright Status
Unknown
Socpus ID
84871552752 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84871552752
STARS Citation
Dimitrov, D. K.; Ismail, M. E.H.; and Sri Ranga, A., "A Class Of Hypergeometric Polynomials With Zeros On The Unit Circle: Extremal And Orthogonal Properties And Quadrature Formulas" (2013). Scopus Export 2010-2014. 7821.
https://stars.library.ucf.edu/scopus2010/7821