Orthogonal polynomials. Computation and approximation. Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable from the Internet, to generate orthogonal polynomials of a great variety: OPQ: A MATLAB SUITE OF PROGRAMS FOR GENERATING ORTHOGONAL POLYNOMIALS AND RELATED QUADRATURE RULES.

References in zbMATH (referenced in 306 articles , 1 standard article )

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  1. Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M.; Tomanović, Jelena D.: Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind (2019)
  2. Erfani, S.; Babolian, E.; Javadi, S.; Shamsi, M.: Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations (2019)
  3. Pozza, S.; Strakoš, Z.: Algebraic description of the finite Stieltjes moment problem (2019)
  4. van Diejen, J. F.; Emsiz, E.: Exact cubature rules for symmetric functions (2019)
  5. van Diejen, J. F.; Emsiz, E.: Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials (2019)
  6. Alqahtani, Hessah; Reichel, Lothar: Simplified anti-Gauss quadrature rules with applications in linear algebra (2018)
  7. Alqahtani, Hessah; Reichel, Lothar: Multiple orthogonal polynomials applied to matrix function evaluation (2018)
  8. Ariznabarreta, Gerardo; García-Ardila, Juan C; Mañas, Manuel; Marcellán, Francisco: Non-abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations (2018)
  9. Barrios Rolanía, Dolores; Delgado Martínez, Guillermo; Manrique, Daniel: Multilayered neural architectures evolution for computing sequences of orthogonal polynomials (2018)
  10. Barry, Paul: On a transformation of Riordan moment sequences (2018)
  11. Barry, Paul; Mesinga Mwafise, Arnauld: Classical and semi-classical orthogonal polynomials defined by Riordan arrays, and their moment sequences (2018)
  12. Bespalov, Alex; Rocchi, Leonardo: Efficient adaptive algorithms for elliptic PDEs with random data (2018)
  13. Da Fies, Gaspare; Sommariva, Alvise; Vianello, Marco: Subperiodic trigonometric hyperinterpolation (2018)
  14. Dehesa, J. S.; Moreno-Balcázar, J. J.; Toranzo, I. V.: Linearization and Krein-like functionals of hypergeometric orthogonal polynomials (2018)
  15. de la Calle Ysern, B.; Spalević, M. M.: Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules (2018)
  16. Feng, Qian; Nguang, Sing Kiong: Dissipative delay range analysis of coupled differential-difference delay systems with distributed delays (2018)
  17. Fox, Rodney O.; Laurent, Frédérique; Vié, Aymeric: Conditional hyperbolic quadrature method of moments for kinetic equations (2018)
  18. Gautschi, Walter; Milovanović, Gradimir V.: Binet-type polynomials and their zeros (2018)
  19. Gomez, Christophe; Pinaud, Olivier: Monte Carlo methods for radiative transfer with singular kernels (2018)
  20. Hasegawa, Takemitsu; Sugiura, Hiroshi: Uniform approximation to Cauchy principal value integrals with logarithmic singularity (2018)

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