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Gaussian quadrature rules with simple node-weight relations
(Baltzer Sci Publ Bv, 2001-01-01)
In this paper, we consider the symmetric Gaussian and L-Gaussian quadrature rules associated with twin periodic recurrence relations with possible variations in the initial coefficient. We show that the weights of the ...
Gaussian quadrature rules with simple node-weight relations
(Baltzer Sci Publ Bv, 2001-01-01)
In this paper, we consider the symmetric Gaussian and L-Gaussian quadrature rules associated with twin periodic recurrence relations with possible variations in the initial coefficient. We show that the weights of the ...
Quadrature rules from a R I I type recurrence relation and associated quadrature rules on the unit circle
(2019-01-01)
We consider the theoretical and numerical aspects of the quadrature rules associated with a sequence of polynomials generated by a special R II recurrence relation. We also look into some methods for generating the nodes ...
A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas
(2013-01-01)
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 ...
A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas
(2013-01-01)
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 ...
Inversely symmetric interpolatory quadrature rules
(2000-05-01)
We consider interpolatory quadrature rules with nodes and weights satisfying symmetric properties in terms of the division operator. Information concerning these quadrature rules is obtained using a transformation that ...
Inversely symmetric interpolatory quadrature rules
(2000-05-01)
We consider interpolatory quadrature rules with nodes and weights satisfying symmetric properties in terms of the division operator. Information concerning these quadrature rules is obtained using a transformation that ...
Gaussian quadrature rules with simple node-weight relations
(Baltzer Sci Publ Bv, 2014)