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Some Cubic Birth and Death Processes and their Related Orthogonal Polynomials

โœ Scribed by Jacek Gilewicz; Elie Leopold; Andreas Ruffing; Galliano Valent


Publisher
Springer
Year
2005
Tongue
English
Weight
198 KB
Volume
24
Category
Article
ISSN
0176-4276

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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