Access the full text.
Sign up today, get DeepDyve free for 14 days.
F. Marcellán, J. Dehesa, A. Ronveaux (1990)
On orthogonal polynomials with perturbed recurrence relationsJournal of Computational and Applied Mathematics, 30
W. Erb (2012)
Accelerated Landweber methods based on co-dilated orthogonal polynomialsNumerical Algorithms, 68
(1990)
Application aux polynômes orthogonaux semi-classiques
(1991)
Une théorie algébrique des polynômes orthogonaux
Z. Rocha (2016)
A general method for deriving some semi-classical properties of perturbed second degree forms: The case of the Chebyshev form of second kindJ. Comput. Appl. Math., 296
Z. Rocha (2019)
On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kindJournal of Difference Equations and Applications, 25
A. Ronveaux, S. Belmehdi, J. Dini, P. Maroni (1990)
Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomialsJournal of Computational and Applied Mathematics, 29
P. Maroni, M. Mejri (2014)
Some perturbed sequences of order one of the Chebyshev polynomials of second kindIntegral Transforms and Special Functions, 25
T. Chihara (1957)
ON CO-RECURSIVE ORTHOGONAL POLYNOMIALS, 8
(1995)
Tchebychev forms and their perturbed as second degree forms
P. Maroni (1995)
An introduction to second degree formsAdvances in Computational Mathematics, 3
(2015)
ON THE SECOND ORDER DIFFERENTIAL EQUATION SATISFIED BY PERTURBED CHEBYSHEV POLYNOMIALS
T. Rivlin (1974)
The Chebyshev polynomials
(1935)
Sur les polynômes de Tchebicheff
(1989)
Sur une perturbation de la récurrence vérifiée par une suite de polynômes orthogonaux
(1978)
An Introduction to Orthogonal Polynomials, Mathematics and its Applications, vol
H. Slim (1988)
On co-recursive orthogonal polynomials and their application to potential scatteringJournal of Mathematical Analysis and Applications, 136
Z. Rocha (1999)
Shohat-Favard and Chebyshev’s methods in d-orthogonalityNumerical Algorithms, 20
We consider some perturbation of the Chebyshev polynomials of second kind obtained by modifying one of its recurrence coefficients at an arbitrary order. The goal of this work is to point out that perturbed Chebyshev polynomials of fixed degree and different values of parameters of perturbation have some common points that are zeros of two Chebyshev polynomials of second kind of lower degrees. These common points can be simple or double. We identify the cases in which they are common zeros.
Mathematics in Computer Science – Springer Journals
Published: Apr 1, 2020
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.