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Bidiagonal matrix factorisations related to multiple orthogonal polynomials

• Authors : Branquinho, Amílcar; Díaz, Juan E. F.; Foulquié-Moreno, Ana

Subjects: Mathematics - Classical Analysis and ODEs; 15A23, 33C45, 42C05, 47B36. (Primary) 11J70, 33C20. (Secondary)

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Orthogonal Polynomials on Bubble-Diamond Fractals

• Authors : Axinn, Elena; Osborne, Calvin; Okoudjou, Kasso A.

Subjects: Mathematics - Functional Analysis

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General Geronimus Perturbations for Mixed Multiple Orthogonal Polynomials

• Authors : Mañas, Manuel; Rojas, Miguel

Subjects: Mathematics - Classical Analysis and ODEs; Mathematical Physics; 42C05, 33C45, 33C47, 47B39, 47B36

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Combinatorics of generalized orthogonal polynomials of type $R_{II}$

• Authors : Kim, Jang Soo; Song, Minho

Subjects: Mathematics - Combinatorics; Mathematics - Classical Analysis and ODEs; 33C45, 05A15

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Laurent Multiple Orthogonal Polynomials on the Unit Circle

• Authors : Kozhan, Rostyslav; Vaktnäs, Marcus

Subjects: Mathematics - Classical Analysis and ODEs; 42C05, 41A21, 41A28

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Hypergeometric expressions for type I Jacobi--Pi{n}eiro orthogonal polynomials with arbitrary number of weights.

• Authors : Branquinho, Amílcar¹ (AUTHOR); Díaz, Juan E. F.² (AUTHOR); Foulquié-Moreno, Ana² (AUTHOR)

• Source: Proceedings of the American Mathematical Society, Series B. 6/24/2024, Vol. 11, p200-210. 11p.

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New Tools for Tuning PID Controllers Using Orthogonal Polynomials

• Authors : Alejandro Arceo; Luis E. Garza; Gerardo Romero

Subjects: Hurwitz polynomials; orthogonal polynomials; PID controllers

• Source: IEEE Access, Vol 13, Pp 31992-32003 (2025)

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On the asymptotics of orthogonal polynomials on multiple intervals with non-analytic weights

• Authors : Trogdon, Thomas

Subjects: Mathematics - Classical Analysis and ODEs; Mathematics - Complex Variables; 42C05, 33C47

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Orthogonal polynomials: from Heun equations to Painlev\'{e} equations

• Authors : Zhu, Mengkun; Chen, Yuting; Yu, Jianduo

Subjects: Mathematics - Classical Analysis and ODEs

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Entanglement Hamiltonian and orthogonal polynomials

• Authors : Bernard, Pierre-Antoine; Bonsignori, Riccarda; Eisler, Viktor

Subjects: Condensed Matter - Statistical Mechanics; High Energy Physics - Theory; Mathematical Physics

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Fourier transforms of orthogonal polynomials on the cone

• Authors : Karaman, Rabia Aktaş; Area, Iván

Subjects: Mathematics - Classical Analysis and ODEs; Primary 33C50, 33C70, 33C45 Secondary 42B10

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Matrix valued orthogonal polynomials arising from hexagon tilings with 3x3-periodic weightings

• Authors : Kuijlaars, Arno B. J.

Subjects: Mathematics - Classical Analysis and ODEs; Mathematical Physics

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$q$-Hypergeometric orthogonal polynomials with $q=-1$

• Authors : Verde-Star, Luis

Subjects: Mathematics - Classical Analysis and ODEs; 33C45, 33D45

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An electrostatic model for the roots of discrete classical orthogonal polynomials

• Authors : Sánchez-Lara, Joaquín F.

Subjects: Mathematics - Classical Analysis and ODEs; Primary: 42C05, Secondary: 30C15, 31A15, 33C45, 33C47

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Investigation of Viscoelastic Guided Wave Properties in Anisotropic Laminated Composites Using a Legendre Orthogonal Polynomials Expansion–Assisted Viscoelastodynamic Model.

• Authors : Liu, Hongye^1,2 (AUTHOR) ; Huang, Ziqi¹ (AUTHOR) ; Yin, Zhuang¹ (AUTHOR)

Subjects: *ORTHOGONAL polynomials; *WAVEGUIDES; *LAMINATED materials

• Source: Polymers (20734360). Jun2024, Vol. 16 Issue 12, p1638. 20p.

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Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials †.

• Authors : Fernández-Irisarri, Itsaso¹ (AUTHOR) ; Mañas, Manuel¹ (AUTHOR)

• Source: Mathematics (2227-7390). Dec2023, Vol. 11 Issue 23, p4866. 16p.

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Fast measure modification of orthogonal polynomials via matrices with displacement structure

• Authors : Gumerov, Karim; Rigg, Samantha; Slevinsky, Richard Mikael

Subjects: Mathematics - Numerical Analysis; 33C45, 33C47, 65F45, 15A24, 68W20

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Random Sums of Weighted Orthogonal Polynomials in ${\mathbb C}^d$

• Authors : Bloom, T.; Dauvergne, D.; Levenberg, N.

Subjects: Mathematics - Probability; Mathematics - Complex Variables; 60B10 (Primary) 32U35, 60G57, 30C15 (Secondary)

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An evolution of matrix-valued orthogonal polynomials

• Authors : Koelink, Erik; Román, Pablo; Zudilin, Wadim

Subjects: Mathematics - Classical Analysis and ODEs; Mathematical Physics; Mathematics - Combinatorics

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Validated matrix multiplication transform for orthogonal polynomials with applications to computer-assisted proofs for PDEs

• Authors : Cadiot, Matthieu; Jaquette, Jonathan; Lessard, Jean-Philippe

Subjects: Mathematics - Numerical Analysis; Mathematics - Analysis of PDEs

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Discrete Orthogonal Polynomials : Asymptotics and Applications

• Authors : J. Baik; T. Kriecherbauer; Kenneth D.T-R McLaughlin

Subjects: Orthogonal polynomials--Asymptotic theoryMATHEMATICS / Discrete Mathematics

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Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations

• Authors : Branquinho, Amílcar; Díaz, Juan E. F.; Foulquié-Moreno, Ana

Subjects: Mathematics - Classical Analysis and ODEs; Mathematical Physics; 42C05, 33C45, 33C47

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Orthogonal polynomials in the normal matrix model with two insertions

• Authors : Kieburg, Mario; Kuijlaars, Arno B. J.; Lahiry, Sampad

Subjects: Mathematics - Classical Analysis and ODEs; Mathematics - Probability; 42C05, 30C10, 30E25, 60B20, 41A60

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Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials

• Authors : Alpan, Gökalp; Zinchenko, Maxim

Subjects: Mathematics - Classical Analysis and ODEs; Primary 41A17, Secondary 41A44, 42C05, 33C45

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Non-Hermitian Orthogonal Polynomials on a Trefoil.

• Authors : Barhoumi, Ahmad B.¹ (AUTHOR) ; Yattselev, Maxim L.² (AUTHOR)

• Source: Constructive Approximation. Apr2024, Vol. 59 Issue 2, p271-331. 61p.

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