Some Characterizations of the Ultraspherical Polynomials
- 1 August 1968
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 11 (3) , 457-464
- https://doi.org/10.4153/cmb-1968-054-1
Abstract
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 1.2Keywords
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