{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","description":"This cluster of papers focuses on the theory, computation, and applications of orthogonal polynomials. It covers topics such as quadrature methods, approximation, interpolation, asymptotics, numerical stability, matrix valued polynomials, Riemann-Hilbert approach, random matrix theory, and hypergeometric functions.","keywords":[{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"orthogonal polynomials","score":0.6254},{"id":"https://openalex.org/keywords/special-functions","display_name":"special functions","score":0.5286},{"id":"https://openalex.org/keywords/bessel-functions","display_name":"Bessel functions","score":0.3138},{"id":"https://openalex.org/keywords/hypergeometric-functions","display_name":"hypergeometric functions","score":0.3952},{"id":"https://openalex.org/keywords/polynomial-approximation","display_name":"polynomial approximation","score":0.2469},{"id":"https://openalex.org/keywords/polynomial-roots","display_name":"polynomial roots","score":0.2764},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"approximation theory","score":0.2105},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"polynomial interpolation","score":0.339},{"id":"https://openalex.org/keywords/rational-approximation","display_name":"rational approximation","score":0.2973},{"id":"https://openalex.org/keywords/quadrature-formulas","display_name":"quadrature formulas","score":0.3886},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.2487},{"id":"https://openalex.org/keywords/jacobi-polynomials","display_name":"Jacobi polynomials","score":0.5084},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.5304},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.2795},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.4406},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.352},{"id":"https://openalex.org/keywords/hypergeometric-series","display_name":"hypergeometric series","score":0.3271},{"id":"https://openalex.org/keywords/uniform-approximation","display_name":"uniform approximation","score":0.2164},{"id":"https://openalex.org/keywords/polynomial-inequalities","display_name":"polynomial inequalities","score":0.4012},{"id":"https://openalex.org/keywords/generalized-hypergeometric-functions","display_name":"generalized hypergeometric functions","score":0.5095},{"id":"https://openalex.org/keywords/numerical-quadrature","display_name":"numerical quadrature","score":0.3657},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.5187},{"id":"https://openalex.org/keywords/recurrence-coefficients","display_name":"recurrence coefficients","score":0.8013},{"id":"https://openalex.org/keywords/three-term-recurrence-relation","display_name":"three-term recurrence relation","score":0.6561},{"id":"https://openalex.org/keywords/spline-approximation","display_name":"spline approximation","score":0.2645}],"legacy_keywords":"Orthogonal Polynomials; Quadrature Methods; Approximation; Interpolation; Asymptotics; Numerical Stability; Matrix Valued Polynomials; Riemann-Hilbert Approach; Random Matrix Theory; Hypergeometric Functions","ids":{"openalex":"https://openalex.org/T11191","wikipedia":"https://en.wikipedia.org/wiki/Orthogonal_polynomials"},"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations"},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows"},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis"},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory"},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions"},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory"},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research"},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods"},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications"},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities"},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis"},{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results"},{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy"},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems"},{"id":"https://openalex.org/T12812","display_name":"Meromorphic and Entire Functions"},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms"}],"works_count":99166,"cited_by_count":1160213,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11191","updated_date":"2026-10-20T03:01:21","created_date":"2024-01-23T15:27:09"}