Geodesic
Division problem of the perturbed form of order one of the Chebyshev form of second kind
Filomat, Tome 36 (2022) no. 10, p. 3491

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DOI

We study the regularity of the form (linear functional) satisfying the functional equation (x 2 − c 2)u = λv where c ∈ C, λ ∈ C − {0} and v is the perturbed form of order one of the Chebyshev form of second kind. The integral representation of the form u is highlighted. Moreover, some symmetric second degree forms of class two and four are given.
DOI : 10.2298/FIL2210491B
Classification : 33C45, 42C05
Keywords: Second degree forms, Semi-classical polynomials, Orthogonality measure 
B Ben Hadj Alia; M Mejria. Division problem of the perturbed form of order one of the Chebyshev form of second kind. Filomat, Tome 36 (2022) no. 10, p. 3491 . doi: 10.2298/FIL2210491B
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     title = {Division problem of the perturbed form of order one of the {Chebyshev} form of second kind},
     journal = {Filomat},
     pages = {3491 },
     year = {2022},
     volume = {36},
     number = {10},
     doi = {10.2298/FIL2210491B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210491B/}
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