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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 P n (λ) ( x ) is analytic at x = 1, aside for some special values of λ, which we shall not consider.
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B. Viswanathan (1968) studied this question.
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