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Found 638 Documents (Results 1–100)

Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. (English) Zbl 1528.05001

Memoirs of the American Mathematical Society 1450. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6268-0/pbk; 978-1-4704-7683-0/ebook). v, 154 p. (2023).
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Hypergeometric Expressions for Type I Jacobi-Piñeiro Orthogonal Polynomials with Arbitrary Number of Weights. arXiv:2310.18294

Preprint, arXiv:2310.18294 [math.CA] (2023).
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Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark–Ismail’s two conjectures. arXiv:2310.12697

Preprint, arXiv:2310.12697 [math.CA] (2023).
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Orthogonality relations for the primitives of Legendre polynomials and their applications to some spectral problems for differential operators. (English. Russian original) Zbl 1497.33012

Math. Notes 110, No. 4, 489-496 (2021); translation from Mat. Zametki 110, No. 4, 498-506 (2021).
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Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case. (English. Russian original) Zbl 1478.15051

Funct. Anal. Appl. 55, No. 2, 94-112 (2021); translation from Funkts. Anal. Prilozh. 55, No. 2, 21-43 (2021).
MSC:  15B52 60B20 33C45
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Orthogonal polynomials and linear functionals. An algebraic approach and applications. (English) Zbl 1475.33001

EMS Series of Lectures in Mathematics. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-008-2/pbk; 978-3-98547-508-7/ebook). viii, 120 p. (2021).
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Revisiting biorthogonal polynomials: an \(LU\) factorization discussion. (English) Zbl 1460.33011

Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 273-307 (2021).
MSC:  33C45 42C05
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The symmetrization problem for multiple orthogonal polynomials. (English) Zbl 1460.33005

Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 17-51 (2021).
MSC:  33C45 39B42
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Riemann-Hilbert problem and matrix biorthogonal polynomials. (English) Zbl 1460.33017

Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 1-15 (2021).
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The determinant, spectral properties, and inverse of a tridiagonal \(k\)-Toeplitz matrix over a commutative ring. arXiv:2106.13157

Preprint, arXiv:2106.13157 [math.RA] (2021).
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A determinant identity for moments of orthogonal polynomials that implies Uvarov’s formula for the orthogonal polynomials of rationally related densities. arXiv:2103.03969

Preprint, arXiv:2103.03969 [math.CA] (2021).
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Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021

Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020).
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