Convexity of the zeros of some orthogonal polynomials and related functions

Jordaan, Kerstin Heidrun; Tookos, Ferenc

UPSpace Home
→
Natural and Agricultural Sciences
→
Mathematics and Applied Mathematics
→
Research Articles (Mathematics and Applied Mathematics)
→
View Item

Please note that UPSpace will be unavailable from Friday, 2 May at 18:00 (South African Time) until Sunday, 4 May at 20:00 due to scheduled system upgrades. We apologise for any inconvenience this may cause and appreciate your understanding.

Show simple item record

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