On a Conjecture Concerning Monotonicity
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Dimitar K. Dimitrov
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Article
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1996
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Elsevier Science
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English
β 235 KB
Let C \* n , n=0, 1, ..., \*>&1Γ2 be the ultraspherical (Gegenbauer) polynomials, orthogonal on (&1, 1) with respect to the weight (1&x 2 ) \*&1Γ2 . Denote by `n, k (\*), k=1, ..., [nΓ2] the positive zeros of C \* n enumerated in decreasing order. The problem of finding the ``extremal'' function f f