Results 1 to 10 of about 2,125 (78)
Open Mathematics, 2007 Starting from the Rodrigues representation of polynomial solutions of the general hypergeometric-type differential equation complementary polynomials are constructed using a natural method.
Weber Hans
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Representations for the extreme zeros of orthogonal polynomials [PDF]
, 2008 We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation.
Doorn, Erik A. van +2 more
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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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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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A Formula for Inserting Point Masses [PDF]
, 2009 Let mu be a probability measure on the unit circle and nu be the measure formed by adding a pure point to mu.
Wong, Manwah Lilian
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Asymptotics of orthogonal polynomials inside the unit circle and Szegö-Padé approximants [PDF]
, 2001 11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.MR#: MR1858277 (2002h:42043)Zbl#: Zbl 1009.42016We study the asymptotic behavior of orthogonal polynomials inside the unit circle for a subclass of measures that satisfy Szegö's condition.
Barrios, Dolores +2 more
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Zeros of linear combinations of Laguerre polynomials from different sequences [PDF]
, 2008 We study interlacing properties of the zeros of two types of linear combinations of Laguerre polynomials with different parameters, namely $R_n=L_n^{\alpha}+aL_{n}^{\alpha'}$ and $S_n=L_n^{\alpha}+bL_{n-1}^{\alpha'}$. Proofs and numerical counterexamples
Brezinski +9 more
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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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