Search Results - "Orthogonal polynomials"

A Chelyshkov-based spectral homotopy analysis method for singular nonlinear Lane–Emden-type equations.

Authors: Bouakkaz, Mouaad Arar, Nouria Meflah, Mabrouk et al.

Source: Networks & Heterogeneous Media; 2026, Vol. 21 Issue 3, p1-25, 25p

A note on Laguerre-Hahn orthogonal polynomials: from 1984 to 2024.

Authors: Rebocho, Maria das Neves¹ (AUTHOR) mneves@ubi.pt

Source: Numerical Algorithms. Jul2026, Vol. 102 Issue 3, p1661-1675. 15p.

Explicit representations of the norms of the Laguerre-Sobolev and Jacobi-Sobolev polynomials.

Authors: Markett, Clemens¹ (AUTHOR) clemens.markett@t-online.de

Source: Numerical Algorithms. Jul2026, Vol. 102 Issue 3, p1635-1659. 25p.

Fourier transforms of orthogonal polynomials on the cone.

Authors: Aktaş Karaman, Rabia Area, Iván

Source: Numerical Algorithms. Jul2026, Vol. 102 Issue 3, p1583-1609. 27p.

Bidiagonal matrix factorisations associated with symmetric multiple orthogonal polynomials and lattice paths.

Authors: Lima, Hélder¹ (AUTHOR) helder.lima@ua.pt

Source: Numerical Algorithms. Jul2026, Vol. 102 Issue 3, p1527-1552. 26p.

Szegő quadrature formulas associated with the weight function 1+cos(mθ) with application to the approximation of certain Christoffel transformations on the interval.

Authors: Cruz-Barroso, Ruymán Díaz-Bautista, Michael

Source: Numerical Algorithms. Jul2026, Vol. 102 Issue 3, p1487-1526. 40p.

Interlacing of zeros from different sequences of Meixner-Pollaczek, Pseudo-Jacobi and Continuous Hahn polynomials.

Authors: Jooste, A. S. Jordaan, K.

Source: Numerical Algorithms. Jul2026, Vol. 102 Issue 3, p1553-1566. 14p.

On a Biparametric Appell Extension: Analytical Properties and Structural Analysis.

Authors: Ahmed, Hany Mostafa¹ (AUTHOR)

Source: Axioms (2075-1680). Jun2026, Vol. 15 Issue 6, p455. 22p.

A New Generalization of Legendre-Based Appell Polynomials with Two Parameters and Their Applications.

Authors: Alhamzi, Ghaliah Oros, Georgia Irina Jeelani, Mdi Begum et al.

Source: Axioms (2075-1680). Jun2026, Vol. 15 Issue 6, p420. 22p.

Semi-spectral computational algorithm for fractional characterization of time-dependent fluid model with convergence and stability analysis.

Authors: Hamid, Muhammad Usman, Muhammad Wang, Wei et al.

Source: Waves in Random & Complex Media. Jun2026, Vol. 36 Issue 3, p3201-3222. 22p.

Approximating the universal thermal climate index using sparse regression with orthogonal polynomials.

Authors: Roman, Sabin Todorovski, Ljupčo Džeroski, Sašo et al.

Source: Geoscientific Model Development. 2026, Vol. 19 Issue 10, p4319-4330. 12p.

A novel shifted Vieta–Lucas spectral collocation approach for multidimensional generalized Benjamin–Bona–Mahony–Burgers equations.

Authors: Hafez, Ramy M. Ahmed, Hany Mostafa Alburaikan, Alhanouf et al.

Source: Scientific Reports. 5/8/2026, Vol. 16 Issue 1, p1-16. 16p.

On a Family of Karhunen-Loève Expansions Related to Zonal Spherical Functions.

Authors: Pycke, Jean-Renaud¹ (AUTHOR)

Source: Symmetry (20738994). May2026, Vol. 18 Issue 5, p789. 30p.

Long Journey from Stevenson's Formally Complex Hypergeometric Polynomials to Real-by-Definition Romanovski-Routh Polynomials.

Authors: Natanson, Gregory¹ (AUTHOR)

Source: Axioms (2075-1680). May2026, Vol. 15 Issue 5, p343. 35p.

Maximal Convergence of Fourier Series with Respect to Bergman Orthogonal Polynomials via Their Strong Asymptotics.

Authors: Oktay, Burçin¹ (AUTHOR)

Source: Axioms (2075-1680). May2026, Vol. 15 Issue 5, p326. 16p.

Modeling Count Distributions via Skewness–Kurtosis Orthogonal Expansions.

Authors: Lee, Won-Woo Lee, Ji-Hun Lee, Jong-Seung et al.

Source: Mathematics (2227-7390). May2026, Vol. 14 Issue 9, p1422. 19p.

Lanczos meets orthogonal polynomials.

Authors: Qu, Le-Chen^1,2 (AUTHOR) lechen.qu@ift.csic.es

Source: Journal of High Energy Physics. May2026, Vol. 2026 Issue 5, p1-22. 22p.

A Quantum-Inspired Attention Network with Orthogonal Polynomials for Medical Image Classification.

Authors: Jagatheesan, Senthilkumar K, Devendranath Kumar, N. Sameer

Source: EPJ Web of Conferences. 3/23/2026, Vol. 360, p1-14. 14p.

Series Solution to a Fuchsian‐Type Differential Equation in Terms of Orthogonal Polynomials.

Authors: Mondal, Saiful Rahman Pathak, Pratap Narayan Sen, Smritijit

Source: Journal of Mathematics. 4/7/2026, Vol. 2026, p1-21. 21p.

Fractional Inner Products and Orthogonal Polynomial Structures: A Riemann-Liouville Framework for Spectral Approximation.

Authors: Awadalla, Muath Alhwikem, Dalal

Source: Axioms (2075-1680). Feb2026, Vol. 15 Issue 2, p119. 20p.