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On the Monotonic Variation of the Zeros of Ultraspherical Polynomials with the Parameters
Published online by Cambridge University Press: 20 November 2018
Abstract
We show that increases with λ, for 0< λ < 1, being the kth zero of the ultraspherical polynomial and f(λ) a suitable function of λ. As a consequence, some inequalities for and an estimate for can be obtained.
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- Copyright © Canadian Mathematical Society 1984
Footnotes
On leave from the University of Padua, Italy.
This work was supported, in part, by the Italian C.N.R.
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