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Orthogonal Polynomials : Computation and Approximation

• Authors : Walter Gautschi

Subjects: Orthogonal polynomialsMATHEMATICS / Mathematical Analysis; MATHEMATICS / Calculus

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Orthogonal Polynomials on Radial Rays in the Complex Plane: Construction, Properties and Applications.

• Authors : Milovanović, Gradimir V.^1,2 (AUTHOR)

• Source: Axioms (2075-1680). Jan2025, Vol. 14 Issue 1, p65. 33p.

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Three-Dimensional Object Recognition Using Orthogonal Polynomials: An Embedded Kernel Approach.

• Authors : Mohammed, Aqeel Abdulazeez¹ (AUTHOR); Al-sudani, Ahlam Hanoon² (AUTHOR); Abdul-Hadi, Alaa M.^2,3 (AUTHOR)

• Source: Algorithms. Feb2025, Vol. 18 Issue 2, p78. 21p.

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An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials.

• Authors : Charpentier, S.¹ (AUTHOR) ; Levenberg, N.² (AUTHOR) ; Wielonsky, F.¹ (AUTHOR)

• Source: Constructive Approximation. Feb2025, Vol. 61 Issue 1, p63-80. 18p.

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Classical Orthogonal Polynomials, The

• Authors : Brian George Spencer Doman

Subjects: Orthogonal polynomials; PolynomialsMATHEMATICS / Numerical Analysis; MATHEMATICS / Reference; SCIENCE / Physics / Mathematical & Computational

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Maxwell orthogonal polynomials.

• Authors : ÁLVAREZ-PAREDES, ÁNGEL¹ ; CRUZ-BARROSO, RUYMÁN² ; MARCELLÁN, FRANCISCO¹

• Source: Constructive Mathematical Analysis. 2024 Special Issue, Vol. 7, p93-113. 21p.

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Uvarov perturbations for matrix orthogonal polynomials.

• Authors : Ariznabarreta, Gerardo¹ (AUTHOR); García-Ardila, Juan C.² (AUTHOR); Mañas, Manuel³ (AUTHOR)

• Source: Proceedings of the American Mathematical Society, Series B. 10/18/2024, Vol. 11, p525-537. 13p.

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Nice q-analogs of orthogonal polynomials with nice moments: Some simple examples

• Authors : Cigler, Johann

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

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Asymptotics for multiple $q$-orthogonal polynomials from the RHP

• Authors : Latimer, Tomas Lasic

Subjects: Mathematics - Classical Analysis and ODEs

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The Laguerre constellation of classical orthogonal Polynomials

• Authors : Costas-Santos, Roberto S.

Subjects: Mathematics - Classical Analysis and ODEs; 42C05, 33C45, 33D45

• Source: Mathematics 13, no. 2 (2025), 277

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Multi-indexed Orthogonal Polynomials of a Discrete Variable and Exactly Solvable Birth and Death Processes

• Authors : Odake, Satoru

Subjects: Mathematical Physics; High Energy Physics - Theory; Mathematics - Classical Analysis and ODEs

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On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices.

• Authors : Marriaga, Misael E.¹ ; de Salas, Guillermo Vera¹ ; Latorre, Marta¹

Subjects: *ORTHOGONAL polynomials; *DIFFERENTIAL equations; *RANDOM matrices

• Source: Bulletin of Mathematical Sciences (World Scientific). Apr2024, Vol. 14 Issue 1, p1-37. 37p.

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Asymptotic for Orthogonal Polynomials with Respect to a Rational Modification of a Measure Supported on the Semi-Axis.

• Authors : Féliz-Sánchez, Carlos¹ (AUTHOR) ; Pijeira-Cabrera, Héctor² (AUTHOR) ; Quintero-Roba, Javier³ (AUTHOR)

• Source: Mathematics (2227-7390). Apr2024, Vol. 12 Issue 7, p1082. 16p.

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Adomian Modification Methods via Orthogonal Polynomials: A Comparative Study.

• Authors : AL-Mazmumy, Mariam¹ ; Bakodah, Huda¹ ; Alsulami, Aishah¹

• Source: European Journal of Pure & Applied Mathematics. Jul2024, Vol. 17 Issue 3, p1982-2000. 19p.

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Structure of operator algebras for matrix orthogonal polynomials

• Authors : Parisi, Ignacio Bono; Pacharoni, Inés

Subjects: Mathematics - Classical Analysis and ODEs; Mathematics - Operator Algebras

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Matrix valued orthogonal polynomials related to SU$(N+1)$, their algebras of differential operators and the corresponding curves

• Authors : Grünbaum, F. Alberto; De la Iglesia, Manuel D.

Subjects: Mathematics - Classical Analysis and ODEs

• Source: Exp. Math. 16, No. 2, (2007), 189-207

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Segal-Bargmann transforms and generalized Weyl algebras associated with the Meixner class of orthogonal polynomials

• Authors : Kodsueb, Chadaphorn; Lytvynov, Eugene

Subjects: Mathematical Physics; 30H20, 46E20, 46E22, 81R10, 81R30, 81V80

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Multiple orthogonal polynomials, d-orthogonal polynomials, production matrices, and branched continued fractions.

• Authors : Sokal, Alan D.¹ (AUTHOR)

• Source: Transactions of the American Mathematical Society, Series B. 4/11/2024, Vol. 11, p762-797. 36p.

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A Survey on Orthogonal Polynomials from a Monomiality Principle Point of View.

• Authors : Cesarano, Clemente¹ (AUTHOR) ; Quintana, Yamilet^2,3 (AUTHOR) ; Ramírez, William¹ (AUTHOR)

• Source: Encyclopedia. Sep2024, Vol. 4 Issue 3, p1355-1366. 12p.

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Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind.

• Authors : Arvesú, Jorge¹ (AUTHOR) ; Quintero Roba, Alejandro J.² (AUTHOR)

• Source: Mathematics (2227-7390). Jan2024, Vol. 12 Issue 1, p62. 19p.

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Superintegrability of the Wilson family of matrix models and moments of multivariable orthogonal polynomials

• Authors : Mishnyakov, Victor

Subjects: Mathematical Physics; High Energy Physics - Theory

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Orthogonal Polynomials and Perfect State Transfer

• Authors : Bailey, Rachel

Subjects: Quantum Physics; Mathematical Physics; 33C45 (Primary), 81P45 (Primary), 47B36 (Secondary)

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Hankel determinant and orthogonal polynomials arising from the matrix model in 2D quantum gravity

• Authors : Min, Chao; Ding, Yadan

Subjects: Mathematical Physics; 42C05, 33C45, 41A60

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Multiple Orthogonal Polynomials of two real variables

• Authors : Fernández, Lidia; Villegas, Juan Antonio

Subjects: Mathematics - Classical Analysis and ODEs; Mathematics - Numerical Analysis; 33C45, 42C05

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Orthogonal polynomials with periodic recurrence coefficients

• Authors : Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng

Subjects: Mathematics - Classical Analysis and ODEs; Primary 33D45, Secondary 39A06, 30B70

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