Computing the Hilbert transform of a Jacobi weight function
From MaRDI portal
Publication:1094085
DOI10.1007/BF01934185zbMath0629.65023MaRDI QIDQ1094085
Publication date: 1987
Published in: BIT (Search for Journal in Brave)
Jacobi polynomialrecursive computationevaluation of the Hilbert transform of the Jacobi weight function
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Computation of special functions and constants, construction of tables (65D20) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Related Items
Quadrature rules with multiple nodes for evaluating integrals with strong singularities ⋮ Fast algorithms using orthogonal polynomials ⋮ Hilbert and Hadamard transforms by generalized Chebyshev expansion ⋮ Two new formulas for the numerical evaluation of the Hilbert transform ⋮ Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials ⋮ On the uniform convergence of Cauchy principal values of quasi-interpolating splines ⋮ Interlacing properties of the zeros of the orthogonal polynomials and approximation of the Hilbert transform ⋮ Some numerical algorithms to evaluate Hadamard finite-part integrals ⋮ Projector-splines in the numerical solution of integro-differential equations ⋮ Algorithms for approximating finite Hilbert transform with end-point singularities and its derivatives ⋮ A method for the practical evaluation of the Hilbert transform on the real line ⋮ Is the recurrence relation for orthogonal polynomials always stable? ⋮ Change of variable formulas for regularizing slowly decaying and oscillatory Cauchy and Hilbert transforms ⋮ A Fast Algorithm for the Multiplication of Generalized Hilbert Matrices with Vectors ⋮ Legendre polynomials of the second kind, Fourier series and Lagrange interpolation ⋮ Spline approximation with interpolation constraints for numerical integration ⋮ Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials
Cites Work