A class of hypergeometric polynomials with zeros on the unit circle: extremal and orthogonal properties and quadrature formulas
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Publication:1936175
DOI10.1016/j.apnum.2012.11.002zbMath1268.33007OpenAlexW2012354376MaRDI QIDQ1936175
Dimitar K. Dimitrov, A. Sri Ranga, Mourad E. H. Ismail
Publication date: 21 February 2013
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2012.11.002
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical quadrature and cubature formulas (65D32) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (9)
A modified least squares method: approximations on the unit circle and on \((-1,1)\) ⋮ Basic hypergeometric polynomials with zeros on the unit circle ⋮ Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure ⋮ Monotonicity of zeros for a class of polynomials including hypergeometric polynomials ⋮ Some properties of classes of real self-reciprocal polynomials ⋮ On monotonicity of zeros of paraorthogonal polynomials on the unit circle ⋮ A class of orthogonal functions given by a three term recurrence formula ⋮ Mixed orthogonality on the unit ball ⋮ On zeros of paraorthogonal polynomials
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