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

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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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     author = {Al-Salam, N.A. and Al-Salam, W. A.},
     title = {Some {Characterizations} of the {Ultraspherical} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {457--464},
     year = {1968},
     volume = {11},
     number = {3},
     doi = {10.4153/CMB-1968-054-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-054-1/}
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