On \(d\)-symmetric classical \(d\)-orthogonal polynomials
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Ben Cheikh, Y., Ben Romdhane, N.
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Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials [PDF]
Przemysław Rutka, Ryszard Smarzewski
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The Associated Classical Orthogonal Polynomials [PDF]
The associated orthogonal polynomials p n (x;c) are defined by the 3-term recurrence relation with coefficients A n , B n , C n for p n (x) with c = 0, replaced by A n+c, B n+cand C n+c, c being the association parameter. Starting with examples where such polynomials occur in a natural way some of the well-known theories of how to determine their ...
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On the analytic form of the discrete Kramer sampling theorem
The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems.
Antonio G. García +2 more
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Inequalities of Chernoff type for finite and infinite sequences of classical orthogonal polynomials [PDF]
Ryszard Smarzewski, Przemysław Rutka
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Orthogonal Basic Hypergeometric Laurent Polynomials
The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
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Generating Some Symmetric Semi-classical Orthogonal Polynomials [PDF]
M. Zaatra
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Invariant properties for Wronskian type determinants of classical and classical discrete orthogonal polynomials under an involution of sets of positive integers [PDF]
Guillermo P. Curbera, Antonio J. Durán
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Protecting Medical Images Using a Zero-Watermarking Approach Based on Fractional Racah Moments
This article introduces a new family of orthogonal moments, the fractional Racah moments (FrROMs), developed to meet the demands of copyright protection for medical images, a field requiring robust and secure methods that preserve the integrity of the ...
Karim El-Khanchouli +7 more
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Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE−A
In this contribution we present an extension of the Leverrier-Faddeev algorithm for the simultaneous computation of the determinant and the adjoint matrix B(s) of a pencil sE−A where E is a singular matrix but det(sE−A)≢0. Using a previous result by the
Javier Hernández, Francisco Marcellán
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