Repeated modifications of orthogonal polynomials by linear divisors

DOI10.1007/s11075-012-9627-1zbMath1269.65024OpenAlexW2014104421MaRDI QIDQ2376363

Walter Gautschi

Publication date: 21 June 2013

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

Full work available at URL: https://doi.org/10.1007/s11075-012-9627-1

zbMATH Keywords

numerical examplesthree-term recurrence relationGaussian quadrature of functions having polesmodification algorithms for orthogonal polynomials

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Other special orthogonal polynomials and functions (33C47) Numerical approximation and evaluation of special functions (33F05)

Related Items (6)

RMOP ⋮ Neutralizing nearby singularities in numerical quadrature ⋮ Application of hierarchical equations of motion (HEOM) to time dependent quantum transport at zero and finite temperatures ⋮ Unnamed Item ⋮ Marcinkiewicz continuity estimates for infinite energy solutions of some second order elliptic Dirichlet problems ⋮ On the computation of Gauss quadrature rules for measures with a monomial denominator

Uses Software

• OPQ

Cites Work

• Unnamed Item
• Padé-type approximation and general orthogonal polynomials
• A set of orthogonal polynomials induced by a given orthogonal polynomial
• Gaussian Quadrature Involving Einstein and Fermi Functions with an Application to Summation of Series

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