## Found 645 Documents (Results 1–100)

100
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### Legendre polynomials approximation method for solving Volterra integral equations of the first kind with discontinuous kernels. (English)Zbl 07544635

MSC:  45L05 45D05 33C45
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### McKay matrices for finite-dimensional Hopf algebras. (English)Zbl 07535214

MSC:  19A49 16T05 33C45
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### Certain properties of the Laguerre-Sheffer polynomials. (English)Zbl 1483.33006

MSC:  33C45 15A24
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### Structural formulas for matrix-valued orthogonal polynomials related to $$2\times 2$$ hypergeometric operators. (English)Zbl 07493937

MSC:  42C05 47S10 33C45
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### A note on the insecurity of cryptosystems based on Chebyshev polynomials. (English)Zbl 1485.94067

MSC:  94A60 33C45
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### Scaling limits of planar symplectic ensembles. (English)Zbl 1482.60008

MSC:  60B20 33C45 33E12
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### Laguerre method for solving linear system of Fredholm integral equations. (English)Zbl 1483.65214

MSC:  65R20 45B05
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### Control theory, integral matrices, and orthogonal polynomials. (English. Russian original)Zbl 1482.93243

Proc. Steklov Inst. Math. 315, No. 1, 161-170 (2021); translation from Tr. Mat. Inst. Steklova 315, 172-181 (2021).
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### Determinants of $${\mathrm{FLDcirc}}_r$$ matrices with Chebyshev polynomials. (Chinese. English summary)Zbl 07448595

MSC:  15A15 15A23 33C45
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### Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle. (English)Zbl 07438346

MSC:  33C45 33D45 42C05
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### A general inverse matrix series relation and associated polynomials. II. (English)Zbl 1478.15014

MSC:  15A16 15A24 33C45
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### Some determinantal considerations for pentadiagonal matrices. (English)Zbl 1481.15002

MSC:  15A15 15B05 33C45
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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 07431869

Math. Notes 110, No. 4, 489-496 (2021); translation from Mat. Zametki 110, No. 4, 498-506 (2021).
MSC:  33C45 34Lxx
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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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### Extended generalized Bateman’s matrix polynomials. (English)Zbl 1484.33016

MSC:  33C45 33E20
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### On a Christoffel transformation for matrix measures supported on the unit circle. (English)Zbl 1471.42057

MSC:  42C05 33C45
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### Analytical properties of the two-variables Jacobi matrix polynomials with applications. (English)Zbl 1480.33005

MSC:  33C50 33C45 33D15
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MSC:  33C47
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### On the incomplete second Appell hypergeometric matrix functions. (English)Zbl 1479.33007

MSC:  33C45 15A15 33C65
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### Absorbing-reflecting factorizations for birth-death chains on the integers and their Darboux transformations. (English)Zbl 1469.60229

MSC:  60J10 33C45 42C05
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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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### Matrix Uvarov transformation on the unit circle: asymptotic properties. (English)Zbl 1470.33008

MSC:  33C45 33D45 42C05
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### Gould-Hopper matrix-Bessel and Gould-Hopper matrix-Tricomi functions and related integral representations. (English)Zbl 1484.33009

MSC:  33C10 26A33 33C45
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### Explicit determinantal formula for a class of banded matrices. (English)Zbl 1478.15010

MSC:  15A15 15B05 33C45
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### Certain generating matrix functions of Legendre matrix polynomials using Lie algebraic method. (English)Zbl 07415807

MSC:  33C80 33C45
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### Optimization of the Wishart joint eigenvalue probability density distribution based on the Vandermonde determinant. (English)Zbl 1473.15046

Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 819-838 (2020).
MSC:  15B52 15A15 33C45
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### Extreme points of the Vandermonde determinant on surfaces implicitly determined by a univariate polynomial. (English)Zbl 1479.15005

Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 791-818 (2020).
MSC:  15A15 33C45 62K05
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### The Hermitian Jacobi process: a simplified formula for the moments and application to optical fiber MIMO channels. (English. Russian original)Zbl 1470.15032

Funct. Anal. Appl. 54, No. 4, 257-271 (2020); translation from Funkts. Anal. Prilozh. 54, No. 4, 37-55 (2020).
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### Generalization of multi-variable modified Hermite matrix polynomials and its applications. (English)Zbl 1448.33005

MSC:  33C05 33C45 33C90
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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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### Laguerre-Hahn orthogonal polynomials on the real line. (English)Zbl 1437.33007

MSC:  33C45 33C47 42C05
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### On Hankel matrices commuting with Jacobi matrices from the Askey scheme. (English)Zbl 1443.47035

MSC:  47B35 33C45
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### A note on Konhauser matrix polynomials. (English)Zbl 1430.33005

MSC:  33C45 15A60
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### Relative Szegő asymptotics for Toeplitz determinants. (English)Zbl 1460.15033

MSC:  15B05 15A15 33C45
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### The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order. (English)Zbl 1463.15026

MSC:  15A18 42C05 33C45
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### Matrix valued Laguerre polynomials. (English)Zbl 07201930

Buskes, Gerard (ed.) et al., Positivity and noncommutative analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday. Based on the workshop “Positivity and Noncommutative Analysis”, Delft, The Netherlands, September 26–28, 2018. Cham: Birkhäuser. Trends Math., 295-320 (2019).
MSC:  47A56 33C45
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### The involutory Laguerre transition matrix. (English)Zbl 1434.15019

MSC:  15B36 15A09 33C45
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### Local perturbation of the discrete Schrödinger operator and a generalized Chebyshev oscillator. (English. Russian original)Zbl 1436.81041

Theor. Math. Phys. 200, No. 3, 1348-1359 (2019); translation from Teor. Mat. Fiz. 200, No. 3, 494-506 (2019).
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### Finding hybrid families of special matrix polynomials associated with Sheffer sequences. (English)Zbl 1435.33014

MSC:  33C45 33E20
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### $$2 \times 2$$ hypergeometric operators with diagonal eigenvalues. (English)Zbl 1426.42022

MSC:  42C05 47S10 33C45
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### Operational identities for Hermite-pseudo Laguerre type matrix polynomials and their applications. (English)Zbl 1426.33036

MSC:  33C50 33C80
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### Some expansions for a class of generalized Humbert matrix polynomials. (English)Zbl 1432.15005

MSC:  15A16 33C45 33E20
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### Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice. (English)Zbl 1431.33011

MSC:  33C45 37K10
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### Associated matrix polynomials with the second kind Chebyshev matrix polynomials. (English)Zbl 1416.33030

MSC:  33E20 15A54 33C45
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### Certain properties of generalized Hermite-type matrix polynomials using Weisner’s group theoretic techniques. (English)Zbl 1423.33014

MSC:  33C45 15A60 34A05
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### Fast and precise spectral method for solving pantograph type Volterra integro-differential equations. (English)Zbl 1447.65014

MSC:  65L60 33C45 45J05
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### Doubly infinite Jacobi matrices revisited: resolvent and spectral measure. (English)Zbl 07003588

MSC:  47B36 33C45
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### New $$q$$-Laguerre polynomials having factorized permutation interpretations. (English)Zbl 1397.05023

MSC:  05A30 33C45
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### A new operational approach for solving fractional variational problems depending on indefinite integrals. (English)Zbl 07263284

MSC:  34A08 65M70 33C45
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### Markov $$L_2$$-inequality with the Laguerre weight. (English)Zbl 1445.41004

Ivanov, Kamen (ed.) et al., Constructive theory of functions. Proceedings of the 12th international conference, Sozopol, Bulgaria, June 11–17, 2016. Sofia: Prof. Marin Drinov Academic Publishing House. 207-221 (2018).
MSC:  41A17
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### On bivariate classical orthogonal polynomials. (English)Zbl 1428.33025

MSC:  33C50 42C05 33C45
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### A $$q$$-generalization of the Toda equations for the $$q$$-Laguerre/Hermite orthogonal polynomials. (English)Zbl 1416.33026

MSC:  33D45 39A45
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### A further look at time-and-band limiting for matrix orthogonal polynomials. (English)Zbl 1411.33008

Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and $$q$$-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 139-153 (2018).
MSC:  33C45 33C47
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### On generalized Laguerre matrix polynomials. (English)Zbl 1408.15007

MSC:  15A15 33C45 42C05
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