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Minkowski's successive minima and the zeros of a convexity-function

✍ Scribed by J. M. Wills


Publisher
Springer Vienna
Year
1990
Tongue
English
Weight
301 KB
Volume
109
Category
Article
ISSN
0026-9255

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We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions related to them, using transformations under whi