Generating Functions for Ultraspherical Functions
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 120-134

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The ultraspherical function 1.1 for |1 — x| < 2 is a solution of the differential equation 1.2 This equation has two independent solutions; of the two, only Pn (λ)(x) is analytic at x = 1, aside for some special values of λ, which we shall not consider.
Viswanathan, B. Generating Functions for Ultraspherical Functions. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 120-134. doi: 10.4153/CJM-1968-014-4
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