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- Título:
- A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas
- Universidade Estadual Paulista (UNESP)
- University of Central Florida
- 0168-9274
- 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.
- 1-Jan-2013
- Applied Numerical Mathematics, v. 65, p. 41-52.
- 41-52
- Hypergeometric polynomials
- Para-orthogonal polynomials
- Quadrature rules
- Extremal
- Gaussian type quadrature
- Orthogonal property
- Quadrature formula
- Unit circles
- Computational methods
- Mathematical techniques
- Polynomials
- http://dx.doi.org/10.1016/j.apnum.2012.11.002
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/74156
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