Spectral distribution of Jacobi weighted histopolation matrices via GLT theory

Authors: Guessab, Allal, Author, Nudo, Federico, Author, Serra-Capizzano, Stefano, Author

Contributors: Guessab, Allal, Author, Nudo, Federico, Author, Serra-Capizzano, Stefano, Author

Source: Mathematics and Computers in Simulation. 251:1013-1048

Subject Terms: GLT symbol, Histopolation method, Weighted approximation, Jacobi polynomials

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-601105
https://doi.org/10.1016/j.matcom.2026.08.041

Asymptotics and Zeros of a Special Family of Jacobi Polynomials.

Authors: Santander, John Lopez¹ (AUTHOR) John.LopezSantander@umanitoba.ca, McLaughlin, Kenneth D. T-R² (AUTHOR) kmclaughlin@tulane.edu, Moll, Victor H.² (AUTHOR) vhm@tulane.edu

Source: Constructive Approximation. Oct2026, Vol. 64 Issue 2, p617-657. 41p.

Subject Terms: *Jacobi polynomials, *Asymptotic analysis, *Riemann-Hilbert problems, *Zero (The number)

Bessel operator with Jacobi polynomial integration.

Authors: Bouzeffour, Fethi¹ (AUTHOR) fbouzaffour@ksu.edu.sa

Source: Integral Transforms & Special Functions. Sep2026, Vol. 37 Issue 9, p763-778. 16p.

Subject Terms: *Bessel functions, *Jacobi polynomials, *Fractional calculus, *Error analysis in mathematics, *Taylor's series, *High-order derivatives (Mathematics), *Approximation theory, *Mathematical formulas

Shifted Jacobi collocation method for system of Lane–Emden-type initial value problems.

Authors: Awonusika, Richard Olu¹ (AUTHOR) richard.awonusika@aaua.edu.ng

Source: Arabian Journal of Mathematics. Aug2026, Vol. 15 Issue 2, p993-1009. 17p.

Subject Terms: *Lane-Emden equation, *Jacobi polynomials, *Newton-Raphson method, *Numerical solutions to equations, *Iterative methods (Mathematics), *Initial value problems, *Error analysis in mathematics

Fractional Jacobi Renormalization Operators for Fixed Classical Orthogonal Polynomial Systems.

Authors: Pindza, Edson¹ (AUTHOR) edsonpindza@gmail.com, Mashele, Hopolang Phillip¹ (AUTHOR)

Source: Fractal & Fractional. Aug2026, Vol. 10 Issue 8, p513. 22p.

Subject Terms: *Jacobi polynomials, *Operator functions, *Hilbert space, *Chebyshev polynomials, *Orthogonal polynomials, *Tikhonov regularization, *Legendre's polynomials

Certain properties of generalized Jacobi matrix polynomials.

Authors: Gajera, Sagarkumar¹ (AUTHOR) sagargajera95@gmail.com, Jana, Ranjan K.¹ (AUTHOR) rkjana2003@yahoo.com, Shukla, Ajay K.¹ (AUTHOR) ajayshukla2@rediffmail.com

Source: Georgian Mathematical Journal. Aug2026, Vol. 33 Issue 4, p647-655. 9p.

Subject Terms: *Jacobi polynomials, *Fractional calculus, *Integrals, *Recursive sequences (Mathematics), *Differentiation (Mathematics)

Orthogonal systems based schemes for the stable inversion of Abel's integral operator.

Authors: Karoui, Abderrazek¹ (AUTHOR) abderrazek.karoui@fsb.ucar.tn, Khazri, Ibtissem^1,2 (AUTHOR) khazri.ibtissem89@gmail.com

Source: Mathematical Foundations of Computing. Aug2026, Vol. 12, p1-29. 29p.

Subject Terms: *Jacobi polynomials, *Inverse problems, *Orthogonal polynomials, *Numerical analysis, *Random matrices, *Singular integrals, *Least squares

Generalized absolute convergence of Fourier-Jacobi expansions.

Authors: Tyr, Othman¹ (AUTHOR) otywac@hotmail.fr, Dades, Abdelaali² (AUTHOR)

Source: Integral Transforms & Special Functions. Aug2026, Vol. 37 Issue 8, p690-708. 19p.

Subject Terms: *Jacobi polynomials, *Fourier analysis, *Smoothness of functions, *Signal convolution

Classification of Exceptional Jacobi Polynomials.

Authors: García‐Ferrero, María Ángeles¹ (AUTHOR), Gómez‐Ullate, David² (AUTHOR), Milson, Robert³ (AUTHOR) rmilson@dal.ca

Source: Studies in Applied Mathematics. Apr2026, Vol. 156 Issue 4, p1-81. 81p.

Subject Terms: Jacobi polynomials, Jacobi operators, Taxonomy, Eigenfunctions, Mathematical formulas, Darboux transformations

Large-degree asymptotic expansions for the Jacobi and related functions.

Authors: Nemes, Gergő¹ (AUTHOR)

Source: Mathematics of Computation. Jan2027, Vol. 96 Issue 363, p255-299. 45p.

Subject Terms: *Asymptotic expansions, *Jacobi polynomials, *Mathematical analysis, *Special functions

Approximation Properties of Fourier Sums in Jacobi–Sobolev Polynomials.

Authors: Gadzhimirzaev, R. M.¹ (AUTHOR) ramis3004@gmail.com, Magomed-Kasumov, M. G.^1,2 (AUTHOR) rasuldev@gmail.com

Source: Mathematical Notes. Dec2026, Vol. 120 Issue 5/6, p1060-1072. 13p.

Subject Terms: *Fourier series, *Jacobi polynomials, *Orthogonal polynomials, *Approximation theory, *Approximation algorithms

Efficient spectral-Galerkin method for the "Good" Boussinesq equation using generalized Jacobi polynomials.

Authors: Qin, Haiyang¹ (AUTHOR) 2275266271@qq.com, Jiao, Yujian¹ (AUTHOR) yj-jiao@shnu.edu.cn

Source: Engineering Computations. 2026, Vol. 43 Issue 9, p4332-4358. 27p.

Subject Terms: *Galerkin methods, *Jacobi polynomials, *Boussinesq equations, *Neumann boundary conditions, *Sparse matrices, *Conservation of energy, *Spectral element method

Numerical Solution of the Rosenau–Hyman Equation by the Extended Jacobi Wavelet Method.

Authors: Mishra, Rishi Nath¹ (AUTHOR), Sharma, Vivek Kumar¹ (AUTHOR) vivek.jaimatadi.sharma7@gmail.com, Choudhary, Manohar² (AUTHOR), Singh, Sonoo¹ (AUTHOR)

Source: Numerical Methods for Partial Differential Equations. Jul2026, Vol. 42 Issue 4, p1-25. 25p.

Subject Terms: *Jacobi polynomials, *Wavelets (Mathematics), *Partial differential equations, *Numerical solutions to equations, *Iterative methods (Mathematics), *Error analysis in mathematics, *Matrices (Mathematics), *Mathematics theorems

The CMV bispectrality of the Jacobi polynomials on the unit circle.

Authors: Vinet, Luc¹ (AUTHOR) luc.vinet@umontreal.ca, Zhedanov, Alexei² (AUTHOR) zhedanov@ruc.edu.cn

Source: Numerical Algorithms. Jul2026, Vol. 102 Issue 3, p1695-1711. 17p.

Subject Terms: *Jacobi polynomials, *Orthogonal polynomials, *Differential equations, *Laurent series, *Recursive sequences (Mathematics)

Preconditioning of pseudospectral method for high-order differential equations.

Authors: Tian, Yan¹ (AUTHOR), Liu, Guidong² (AUTHOR) csu_guidongliu@163.com

Source: International Journal of Computer Mathematics. Jul2026, Vol. 103 Issue 7, p1563-1582. 20p.

Subject Terms: *Jacobi polynomials, *Differential equations, *Integral operators, *Numerical analysis, *Iterative methods (Mathematics), *Interpolation algorithms

A new model of the linear harmonic oscillator with the position-dependent mass and two direct limits relating Jacobi polynomials to Hermite polynomials.

Authors: Nagiyev, Shakir M.¹ (AUTHOR) shakir.m.nagiyev@gmail.com

Source: Journal of Mathematical Physics. Jun2026, Vol. 67 Issue 6, p1-12. 12p.

Subject Terms: *Jacobi polynomials, *Hermite polynomials, *Schrödinger equation, *Quantum mechanics, *Harmonic oscillators, *Mathematical induction, *Energy levels (Quantum mechanics)

People: Schroedinger, Erwin, 1887-1961

Basis sets and Coulomb resolutions in rotational coordinates.

Authors: Lilley, Edward¹ (AUTHOR) edward.lilley@univie.ac.at

Source: Journal of Physics A: Mathematical & Theoretical. 2026, Vol. 59 Issue 21, p1-33. 33p.

Subject Terms: *Laplacian operator, *Jacobi polynomials, *Computational chemistry, *Orthogonalization, *Spherical coordinates

Zeros of orthogonal little q-Jacobi polynomials: Interlacing and monotonicity.

Authors: Martínez-Finkelshtein, Andrei¹ (AUTHOR), Morales, Rafael² (AUTHOR), Perales, Daniel³ (AUTHOR)

Source: Proceedings of the American Mathematical Society. May2026, Vol. 154 Issue 5, p2097-2113. 17p.

Subject Terms: *Orthogonal polynomials, *Jacobi polynomials, *Monotonic functions, *Difference equations

On the Basis Property of the Jacobi Polynomials in Weighted Lebesgue Spaces with Variable Exponent.

Authors: Shakh-Emirov, T. N.¹ (AUTHOR) tadgius@gmail.com

Source: Mathematical Notes. May2026, Vol. 119 Issue 5/6, p1182-1197. 16p.

Subject Terms: *Jacobi polynomials, *Function spaces, *Mathematical analysis, *Exponentiation

Comparison of two efficient techniques to solve Fredholm integral equations in weighted spaces.

Authors: Bouayadi, A. El¹ (AUTHOR) abdelmajid.elbouayadi.d23@ump.ac.ma, Allouch, C.¹ (AUTHOR) c.allouch@ump.ac.ma, Arrai, M.¹ (AUTHOR) arrai.mohamed@ump.ac.ma, Boujraf, A.² (AUTHOR) a.boujraf@uae.ac.ma, Tahrichi, M.³ (AUTHOR) m.tahrichi@ump.ac.ma

Source: Mathematics & Computers in Simulation. Dec2026, Vol. 250, p234-245. 12p.

Subject Terms: *Fredholm equations, *Jacobi polynomials, *Iterative methods (Mathematics), *Function spaces, *Numerical analysis