Results 81 to 90 of about 57,584 (243)

The Associated Classical Orthogonal Polynomials [PDF]

open access: yes, 2001
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 ...
openaire   +2 more sources

Linearization of Arbitrary products of classical orthogonal polynomials [PDF]

open access: bronze, 2000
Mahouton Norbert Hounkonnou   +2 more
openalex   +1 more source

On the analytic form of the discrete Kramer sampling theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
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
doaj   +1 more source

Orthogonal Basic Hypergeometric Laurent Polynomials

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
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
doaj   +1 more source

Protecting Medical Images Using a Zero-Watermarking Approach Based on Fractional Racah Moments

open access: yesIEEE Access
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
doaj   +1 more source

On Non-linear Characterizations of Classical Orthogonal Polynomials [PDF]

open access: hybrid, 2022
P. Njionou Sadjang   +4 more
openalex   +1 more source

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