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Convexity results for the largest zero and functions involving the largest zero of q -associated polynomials

โœ Scribed by Petropoulou, Eugenia N.; Siafarikas, Panayiotis D.; Stabolas, Ioannis D.

Book ID
120604857
Publisher
Taylor and Francis Group
Year
2005
Tongue
English
Weight
100 KB
Volume
16
Category
Article
ISSN
1065-2469

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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