Orthogonal polynomials---centroid of their zeroes
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Publication:1014761
DOI10.1007/s11075-008-9195-6zbMath1181.42030OpenAlexW2011921756MaRDI QIDQ1014761
Publication date: 29 April 2009
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-008-9195-6
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
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Cites Work
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- Newton sum rules of zeros of semiclassical orthogonal polynomials
- The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials
- Co-recursive orthogonal polynomials and fourth-order differential equation
- Orthogonal polynomials, associated polynomials and functions of the second kind
- Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials
- Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one
- On the zeros of associated polynomials of classical orthogonal polynomials
- Quasi-orthogonality with applications to some families of classical orthogonal polynomials.
- On the calculation of moments of the zero density of classical and semiclassical orthogonal polynomials
- Interlacing properties of zeros of associated polynomials
- Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros
- Upward extension of the Jacobi matrix for orthogonal polynomials
- New Properties of the Zeros of a Jacobi Polynomial in Relation to their Centroid
- Fourth-order differential equations for numerator polynomials
- Sum rules for zeros of polynomials. I
- Sum rules for zeros of polynomials and generalized Lucas polynomials
- Classical symmetric orthogonal polynomials of a discrete variable
- Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials
- Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials
- Computation of Newton sum rules for associated and co-recursive classical orthogonal polynomials