Stability of ratio asymptotics of orthogonal polynomials under some class of measure perturbations
We consider a finite mass points perturbation of a measure supported by a system of curves and arcs in the complex plane. We study the corresponding perturbation of the ratio asymptotics of the associated monic orthogonal polynomials. Our main result gives a description of the perturbations for whic...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-335-z |
| Online Access: | http://acta.bibl.u-szeged.hu/35198 |
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| 008 | 161017s2015 hu o 000 eng d | ||
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| 024 | 7 | |a http://dx.doi.org/10.14232/actasm-013-335-z |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Kononova A. A. | |
| 245 | 1 | 0 | |a Stability of ratio asymptotics of orthogonal polynomials under some class of measure perturbations |h [elektronikus dokumentum] / |c Kononova A. A. |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2015 | ||
| 300 | |a 133-143 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 81 No. 1-2 | |
| 520 | 3 | |a We consider a finite mass points perturbation of a measure supported by a system of curves and arcs in the complex plane. We study the corresponding perturbation of the ratio asymptotics of the associated monic orthogonal polynomials. Our main result gives a description of the perturbations for which the ratio asymptotics is not changed. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/35198/1/math_081_numb_001_002_133-143.pdf |z Dokumentum-elérés |