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Some polynomials related to theta functions

✍ Scribed by L. Carlitz


Book ID
112745620
Publisher
Springer
Year
1956
Tongue
English
Weight
579 KB
Volume
41
Category
Article
ISSN
0373-3114

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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