Variable-precision recurrence coefficients for nonstandard orthogonal polynomials

DOI10.1007/s11075-009-9283-2zbMath1178.65026OpenAlexW2018103161MaRDI QIDQ1039279

Walter Gautschi

Publication date: 27 November 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9283-2

zbMATH Keywords

Hermite polynomialsrecurrence coefficientsBose-Einstein orthogonal polynomialsFermi-Dirac orthogonal polynomialsFreud orthogonal polynomialssymbolic/variable-precision procedure

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other special orthogonal polynomials and functions (33C47) Packaged methods for numerical algorithms (65Y15) Numerical approximation and evaluation of special functions (33F05) Software, source code, etc. for problems pertaining to special functions (33-04)

Related Items (6)

The spiral of Theodorus, numerical analysis, and special functions ⋮ Computation of induced orthogonal polynomial distributions ⋮ Dependence on the reaction in porous convection ⋮ The Lambert W-functions and some of their integrals: A case study of high-precision computation ⋮ On the computation of recurrence coefficients for univariate orthogonal polynomials ⋮ My Collaboration with Gradimir V. Milovanović

Uses Software

• Matlab
• OrthogonalPolynomials
• OPQ

Cites Work

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• On the nonnegative solution of a Freud three-term recurrence
• Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series

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