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Characterizations of some polynomial variance functions byd-pseudo-orthogonality

✍ Scribed by Célestin C. Kokonendji


Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
169 KB
Volume
19
Category
Article
ISSN
1598-5865

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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