Geodesic
Some Characterizations of the Ultraspherical Polynomials
Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 457-464

Voir la notice de l'article provenant de la source Cambridge University Press

Let be the nth ultraspherical polynomial. Also let . The following generating relation is well known (3, p.98). It can also be written as 1.1 This suggests the consideration of the class of polynomial sets {Qn(x), n = 0, 1, 2,...}, Qn(x) is of exact degree n and 1.2 
Al-Salam, N.A.; Al-Salam, W. A. Some Characterizations of the Ultraspherical Polynomials. Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 457-464. doi: 10.4153/CMB-1968-054-1
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[1] 1. Danese, A., On a characterization of ultraspherical polynomials, Boll. Unione Mat. Italiana (3) vol 21 (1966) 368-370. Google Scholar

[2] 2. Illief, L., Orthogonale systeme in eunigen Klassen von Polynomenfolgen. Comptes Rendus de l'academie bulgare de Sciences, Tome 18, no. 4 (1965) 295-298. Google Scholar

[3] 3. Szegö, G., Orthogonal polynomials. (AMS Coll. publ. rev. ed. vol 23, New York, 1959). Google Scholar

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