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On a theorem of J. L. Walsh concerning the moduli of zeros of polynomials

โœ Scribed by Vijayaraghavan, T.

Book ID
113004331
Publisher
Springer-Verlag
Year
1942
Tongue
English
Weight
239 KB
Volume
16
Category
Article
ISSN
0370-0089

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Let C \* n , n=0, 1, ..., \*>&1ร‚2 be the ultraspherical (Gegenbauer) polynomials, orthogonal on (&1, 1) with respect to the weight (1&x 2 ) \*&1ร‚2 . Denote by `n, k (\*), k=1, ..., [nร‚2] the positive zeros of C \* n enumerated in decreasing order. The problem of finding the ``extremal'' function f f