Mixed type multiple orthogonal polynomials for two Nikishin systems
Constr. Approx. 32 (2010), 255-306 We study the logarithmic and ratio asymptotic of linear forms constructed from a Nikishin system which satisfy orthogonality conditions with respect to a system of measures generated from another Nikishin system. This construction combines type I and type II multip...
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| creator | Prieto, U. Fidalgo García, A. López Lagomasino, G. López Sorokin, V. N |
| description | Constr. Approx. 32 (2010), 255-306 We study the logarithmic and ratio asymptotic of linear forms constructed
from a Nikishin system which satisfy orthogonality conditions with respect to a
system of measures generated from another Nikishin system. This construction
combines type I and type II multiple orthogonal polynomials. The logarithmic
asymptotic of the linear forms is expressed in terms of the extremal solution
of an associated vector valued equilibrium problem for the logarithmic
potential. The ratio asymptotic is described by means of a conformal
representation of an appropriate Riemann surface of genus zero onto the
extended complex plane. |
| doi_str_mv | 10.48550/arxiv.0812.1219 |
| format | Article |
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from a Nikishin system which satisfy orthogonality conditions with respect to a
system of measures generated from another Nikishin system. This construction
combines type I and type II multiple orthogonal polynomials. The logarithmic
asymptotic of the linear forms is expressed in terms of the extremal solution
of an associated vector valued equilibrium problem for the logarithmic
potential. The ratio asymptotic is described by means of a conformal
representation of an appropriate Riemann surface of genus zero onto the
extended complex plane.</description><identifier>DOI: 10.48550/arxiv.0812.1219</identifier><language>eng</language><subject>Mathematics - Complex Variables</subject><creationdate>2008-12</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0812.1219$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0812.1219$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Prieto, U. Fidalgo</creatorcontrib><creatorcontrib>García, A. López</creatorcontrib><creatorcontrib>Lagomasino, G. López</creatorcontrib><creatorcontrib>Sorokin, V. N</creatorcontrib><title>Mixed type multiple orthogonal polynomials for two Nikishin systems</title><description>Constr. Approx. 32 (2010), 255-306 We study the logarithmic and ratio asymptotic of linear forms constructed
from a Nikishin system which satisfy orthogonality conditions with respect to a
system of measures generated from another Nikishin system. This construction
combines type I and type II multiple orthogonal polynomials. The logarithmic
asymptotic of the linear forms is expressed in terms of the extremal solution
of an associated vector valued equilibrium problem for the logarithmic
potential. The ratio asymptotic is described by means of a conformal
representation of an appropriate Riemann surface of genus zero onto the
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from a Nikishin system which satisfy orthogonality conditions with respect to a
system of measures generated from another Nikishin system. This construction
combines type I and type II multiple orthogonal polynomials. The logarithmic
asymptotic of the linear forms is expressed in terms of the extremal solution
of an associated vector valued equilibrium problem for the logarithmic
potential. The ratio asymptotic is described by means of a conformal
representation of an appropriate Riemann surface of genus zero onto the
extended complex plane.</abstract><doi>10.48550/arxiv.0812.1219</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Complex Variables |
| title | Mixed type multiple orthogonal polynomials for two Nikishin systems |
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