Results 1 to 10 of about 1,174 (70)
Deficiency indices of block Jacobi matrices and Miura transformation
Special Matrices, 2022 We study the infinite Jacobi block matrices under the discrete Miura-type transformations which relate matrix Volterra and Toda lattice systems to each other and the situations when the deficiency indices of the corresponding operators are the same.
Osipov Andrey
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Nonlinear Engineering, 2023 In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam.
Moustafa Mohamed +2 more
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On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers
Acta Universitatis Sapientiae: Mathematica, 2020 In this note, we recall several connections between the determinant of some tridiagonal matrices and the orthogonal polynomials allowing the relation between Chebyshev polynomials of second kind and Fibonacci numbers.
da Fonseca Carlos M.
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Remarks to a theorem of Sinclair and Vaaler
, 2020 Sinclair and Vaaler in [6] Theorem 1.2 found sufficient conditions, nonlinear in the coefficients depending on a parameter p 1 , for self-inversive polynomials to have all their zeros on the unit circle.
L. Losonczi
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Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)
Open Mathematics, 2020 Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
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Special Matrices, 2017 We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the ...
Choque-Rivero A.E.
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EIGENVALUE DECAY OF INTEGRAL OPERATORS GENERATED BY POWER SERIES-LIKE KERNELS
, 2014 We deduce decay rates for eigenvalues of integral operators generated by power serieslike kernels on a subset X of either Rq or Cq . A power series-like kernel is a Mercer kernel having a series expansion based on an orthogonal family { fα}α∈Zq+ in L 2(X
D. Azevedo, V. Menegatto
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On generalized Laguerre matrix polynomials
Acta Universitatis Sapientiae: Mathematica, 2018 The main object of the present paper is to introduce and study the generalized Laguerre matrix polynomials for a matrix that satisfies an appropriate spectral property.
Batahan Raed S., Bathanya A. A.
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CUBATURE FORMULA FOR THE GENERALIZED CHEBYSHEV TYPE POLYNOMIALS
, 2017 We study cubature formulas to approximate double integrals of generalized Chebyshev-type polynomials of the second type, U (γ,M,N) n,r,d (U), over triangular domain.
Khaldoun M. AyyalSalman +2 more
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Constrained ultraspherical-weighted orthogonal polynomials on triangle
, 2015 We construct Ultraspherical-weighted orthogonal polynomials C (λ,γ) n,r (u, v, w), λ > − 2 , γ > −1, on the triangular domain T, where 2λ + γ = 1. We show C (λ,γ) n,r (u, v, w), r = 0, 1, . . .
Mohammad A. Alqudah
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