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The orthogonality of the ultraspherical polynomials C nλ (z) for λ>-12 ensures that all of their zeros are in the interval (-1,1). In a previous paper (Driver and Duren, Indag. Math. 11 (2000) 43-51), we have shown that when λ<1-n, all of the zeros lie on the imaginary axis. Our purpose is now to describe the trajectories of the zeros of C nλ (z) as λ decreases from...
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