Monotonicity of zeros of polynomials orthogonal with respect to an even weight function
| dc.contributor.author | Jordaan, Kerstin Heidrun | |
| dc.contributor.author | Wang, H. | |
| dc.contributor.author | Zhou, J. | |
| dc.date.accessioned | 2014-06-25T09:59:00Z | |
| dc.date.issued | 2014-09 | |
| dc.description.abstract | The monotonicity properties of all the zeros with respect to a parameter of orthogonal polynomials associated with an even weight function are studied. The results we obtain extend the work of A. Markoff. The monotonicity of the zeros of Gegenbauer, Freud-type and symmetric Meixner-Pollaczek orthogonal polynomials as well as Al-Salam-Chihara q-orthogonal polynomials are investigated. For the Meixner-Pollaczek polynomials, a special case of a conjecture by Jordaan and To´okos which concerns the interlacing of their zeros between two different sequences of Meixner-Pollaczek polynomials is proved. | en_US |
| dc.description.embargo | 2015-09-30 | |
| dc.description.librarian | hb2014 | en_US |
| dc.description.sponsorship | National Research Foundation of South Africa.Scientific Research Project of the University of South China under grant no. 2011XQD36, the Natural Science Foundation of Hunan Province under grant no. 14JJ6020, the Construct Program in University of South China and the Hengyang Planning Project of Science and Technology under grant no. 2013KJ20. National Natural Science Foundation of the People’s Republic of China under grant no. 11201070. | en_US |
| dc.description.uri | http://www.tandfonline.com/loi/gitr20 | en_US |
| dc.identifier.citation | K. Jordaan, H. Wang & J. Zhou (2014) Monotonicity of zeros of polynomials orthogonal with respect to an even weight function, Integral Transforms and Special Functions, 25:9, 721-729, DOI: 10.1080/10652469.2014.904303. | en_US |
| dc.identifier.issn | 1065-2469 (print) | |
| dc.identifier.issn | 1476-8291 (online) | |
| dc.identifier.other | 10.1080/10652469.2014.904303 | |
| dc.identifier.uri | http://hdl.handle.net/2263/40382 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor and Francis | en_US |
| dc.rights | © 2014 Taylor and Francis. This is an electronic version of an article published in Integral Transforms and Special Functions, vol. 25, no. 9, pp. 721-729, 2013. doi : 10.1080/10652469.2014.904303. Integral Transforms and Special Functions is available online at : http://www.tandfonline.com/loi/gitr20. | en_US |
| dc.subject | Freud-type orthogonal polynomial | en_US |
| dc.subject | Meixner-Pollaczek polynomials | en_US |
| dc.subject | Gegenbauer polynomials | en_US |
| dc.subject | Al-Salam-Chihara polynomials | en_US |
| dc.subject | Zeros | en_US |
| dc.subject | Monotonicity | en_US |
| dc.subject | Interlacing | en_US |
| dc.title | Monotonicity of zeros of polynomials orthogonal with respect to an even weight function | en_US |
| dc.type | Postprint Article | en_US |