Convexity of the zeros of some orthogonal polynomials and related functions

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dc.contributor.author Jordaan, Kerstin Heidrun
dc.contributor.author Tookos, Ferenc
dc.date.accessioned 2009-09-17T07:57:42Z
dc.date.available 2009-09-17T07:57:42Z
dc.date.issued 2009
dc.description.abstract 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 which the zeros remain unchanged. We give upper as well as lower bounds for the distance between consecutive zeros in several cases. en_US
dc.identifier.citation K. Jordaan, F. Tookos, Convexity of the zeros of some orthogonal polynomials and related functions, Journal of Computational and Applied Mathematics (2009), doi:10.1016/j.cam.2009.02.045 en_US
dc.identifier.issn 0377-0427
dc.identifier.other 10.1016/j.cam.2009.02.045
dc.identifier.uri http://hdl.handle.net/2263/11306
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.rights Elsevier en_US
dc.subject Zeros en
dc.subject Convexity theorem of Sturm en
dc.subject Ultraspherical polynomials en
dc.subject.lcsh Orthogonal polynomials en
dc.subject.lcsh Laguerre polynomials en
dc.subject.lcsh Jacobi polynomials en
dc.subject.lcsh Convex domains en
dc.title Convexity of the zeros of some orthogonal polynomials and related functions en_US
dc.type Postprint Article en_US


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